Evaluation of integrals and the Mellin transform
DOI10.1007/BF01373648zbMath0725.44001OpenAlexW2057557595MaRDI QIDQ2276716
O. I. Marichev, Yu. A. Brychkov, A. P. Prudnikov
Publication date: 1991
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01373648
Other hypergeometric functions and integrals in several variables (33C70) Laplace transform (44A10) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to special functions (33-00) General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to integral transforms (44-00)
Related Items (7)
Cites Work
- An elementary evaluation of a beta type integral
- An integral of products of Legendre functions and a Clebsch-Gordan sum
- Über einige Integrale mit Produkten von Mathieu-Funktionen
- On reciprocal functions
- On symbolic calculus of two variables
- Hypergeometric functions
- New integrals involving Bessel functions
- Some relations between Bessel and Legendre functions
- Some formulae for the product of Bessel and Legendre functions
- On certain definite integrals involving Legendre's polynomials
- Integrale über Produkte von Sphäroidfunktionen
- Integrals involving \(E\)-functions
- On a generalized Laplace transform
- Certain properties of generalized Laplace transform involving Meijer's \(G\)-function
- Some theorems concerning a generalized Laplace transform
- An integral involving the associated Legendre functions of the first kind
- Generalized Legendre's associated functions (integral theorems, recurrence formulas)
- Integrals of products of \(E\)-functions
- Barnes integrals as a sum of \(E\)-functions
- A note on Legendre polynomials
- Integrals involving Legendre functions
- Extension of a result of Ainsworth and Liu
- On some integrals arising in mathematical physics
- The Laguerre transform of some elementary functions
- Integral representations for certain hypergeometric functions of three variables due to Lauricella and Srivastava
- Values of certain integrals
- A note on definite integrals involving the derivatives of hypergeometric polynomials
- On a series of Carlitz involving ultraspherical polynomials
- Neue Integraldarstellungen aus der Theorie der MacRobertschen und Besselschen Funktionen
- Double Euler transformations of certain hypergeometric functions
- A definite integral
- Finite integration of certain products associated with the H-function of two variables
- A technique to evaluate the integrals involving product of orthogonal polynomials
- Some integrals and series relations for biorthogonal polynomials suggested by the Legendre polynomials
- A note on a discontinuous hypergeometric integral
- Integrals involving the generalized Lauricella function
- On some integral relations involving the general H-function of several complex variables
- On multidimensional Mellin convolutions and H-function transformations
- On double integral transforms
- The integration of certain products of the multivariable H-function with a general class of polynomials
- On some integrals involving generalized Lommel, Maitland and A-functions
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- A new formula on generalized functions
- A theorem on the Laplace transform which helps to evaluate multiple integrals and to solve integral equations involving multiple integration
- Some finite integrals involving generalized function of two variables
- A note on Mellin inversion formula
- Some theorems on integral transforms
- On some multiple integrals
- On integrals involving products of classical polynomials and Fox H- function
- Some finite integrals involving generalized function of two variables. II
- Certain theorems in two dimensional Laplace transform
- On integrals involving the H-function of two variables
- A new class of Bessel function integrals
- An indirect method for evaluating certain infinite integrals
- Some operational properties of generalized Legendre transform and their applications. II
- Finite and convolution Hardy transformations
- On product of generalized hypergeometric functions
- The use of a connection between integral transforms for the computation of integrals
- Generalized hypergeometric functions with applications in statistics and physical sciences
- Integralproperties of Hermite polynomials by operator methods
- On the calculation of an integral
- A study of Varma transform
- Certain properties of Varma transform involving Whittaker functions
- Integrals involving Legendre function
- Some integrals involving products of Bessel and Legendre functions. II
- Integrals involving Whittaker functions
- Infinite integrals involving Legendre and G-functions
- Integrals involving products of Bessel functions. II
- Integrals involving products of Bessel function and Meijer's G-function. I, II
- Note on a Riegels-type integral
- Integrals involving Kampé de Fériet function
- Integrals involving generalized Legendre functions
- Multiple integrals involving product of modified Bessel functions of the second kind
- On some integrals involving Jacobi's polynomials. I, II
- Integrals of hypergeometric functions
- Note on some definite integral in D. Bierens de Haan's table
- Integration of E-functions and related series
- Integration of certain products containing Jacobi polynomials
- Some new relations for Jacobi polynomials
- Some integrals representing triple hypergeometric functions
- Integral representations for Jacobi polynomials and some applications
- Some theorems on Varma transform of first kind
- Generalisation of an integral involving elliptic function
- The special functions and their approximations. Vol. I, II
- An extension of Neumann's integralrelation for generalized Legendre functions
- A relation between Laplace and Hankel transform of two variables
- On certain transformation formulae and Meijer's G-function of two variables
- Integrals involving \(E\)-functions and Kampé de Fériet's functions of higher order
- Integrals of Schläfli's form involving generalized Bessel coefficients
- On integrals involving generalized hypergeometric functions
- Some results involving generalized Meijer functions associated with Gegenbauer (ultraspherical) polynomials
- On Fourier series for generalized Meijer functions of two variables and their applications
- Integralrelationen Mathieuscher Funktionen. (Integral relation of Mathieu function)
- Integration of Kampé de Fériet's hypergeometric functions with regard to their parameters
- On multiple integrals for Meijer's G-function
- Some integrals involving H-function
- On the Euler integral representations of hypergeometric functions in several variables
- Some integrals containing products of Legendre polynomials
- The Laplace transform of the Bessel functions \(K_ \mu (xt^{\pm 1/n})\) and \(J_ \mu (xt^{\pm 1/n})\), where \(n = 1,2,3 \ldots\)
- Betafunction formulae and integrals involving \(E\)-functions
- Integrals involving Gegenbauer functions and \(E\)-Functions
- Lauricella's hypergeometric function \(F_ D\)
- Relation between Whittaker transform and modified \(\chi_{v,k,m}\)- transform
- Integrals involving Legendre functions. II
- Über eine Integraldarstellung der \(W_{k,m}\)-Funktionen und ihre Darstellung durch die Funktionen des parabolischen Zylinders
- Über eine Integraldarstellung der \(M_{k,m}\)-Funktionen und ihre asymptotische Darstellung für große Werte von Re \(k\)
- An infinite integral involving Bessel functions, parabolic cylinder functions, and the confluent hypergeometric functions
- Su delle relazioni integrali relative ai polinomi di Laguerre e d'Hermite
- Rélations entre les polynômes de Jacobi, Laguerre et Hermite
- Integrale mit hypergeometrischen Integranden
- Uneigentliche Integrale mit parabolischen Funktionen über einen der beiden Parameter
- On some integrals involving the hypergeometric function \(_2F_1(a,b;c;- x)\)
- Untersuchung einiger Integrale mit Bessel-Funktionen, die für die Elastizitätstheorie von Bedeutung sind
- Zur Funktionentheorie der Wellengleichung. Mit Anwendungen auf spezielle Reihen und Integrale mit Besselschen, Whittakerschen und Mathieuschen Funktionen
- Note on some integrals of Bessel functions with respect to their order
- Generalisations of Neumann's formula for \(Q_n (y)\)
- Laguerre polynomials and Laplace integrals
- The Mellin type of double integral
- New integrals involving Bessel-functions
- Extended Watson Integral for an Anisotropic Simple Cubic Lattice
- [https://portal.mardi4nfdi.de/wiki/Publication:3039703 On the Integral � ∞ 0 e -μt t t ν- 1 log m t dt]
- Operational Evaluation of Certain Infinite Bessel Function Integrals
- A Legendre Polynomial Integral
- On the Preceding Paper "A Legendre Polynomial Integral" by James L. Blue
- A table of integrals of the error function. II. Additions and corrections
- A Note on the Computation of Integrals Involving Products of Trigonometric and Bessel Functions
- Calcul des intégrales de la forme [FORMULE (m entier)]
- Integrals involving Products of Bessel Functions
- Some Bessel Function Integrals
- A Theorem in Operational Calculus and some Integrals involving Legendre, Bessel and E-Functions
- Some Definite Integrals Involving Conical Functions
- A Few Infinite Integrals involving E-Functions
- The Fermi-Dirac integrals $$\mathcal{F}_p (\eta ) = (p!)^{ - 1} \int\limits_0^\infty {\varepsilon ^p (e^{\varepsilon - \eta } + 1} )^{ - 1} d\varepsilon $$
- The Bose-Einstein integrals $$\mathcal{B}_p (\eta ) = (p!)^{ - 1} \int\limits_0^\infty {\varepsilon ^p (e^{\varepsilon - \eta } - 1} )^{ - 1} d\varepsilon $$
- On the Representation of Indefinite Integrals Containing Bessel Functions by Simple Neumann Series
- On the Representation of a Certain Integral Involving Bessel Functions by Hypergeometric Series
- Integrals allied to Airy's integrals
- Integration of E-Functions with regard to their parameters
- A Property of the Laplace Transformation
- The inverse Laplace transform of an exponential function
- Ein besonderes uneigentliches Integral über das Produkt zweier regulärer Coulombscher Wellenfunktionen
- On the Product of Legendre and Bessel Functions
- Lommel-Type Integrals Involving Three Bessel Functions
- Infinite integrals involving products of Legendre functions
- Integrals involving hypergeometric functions and E-functions
- A formula similar to Barnes' lemma
- Note on the Integral of the Product of Several Bernoulli Polynomials
- On some expansions for bessel integral functions
- On Certain Indefinite Integrals Involving Bessel Functions
- Some Integrals involving Legendre Functions
- Further extensions of Schuster’s integral
- Integration of E-functions with respect to their parameters
- Some Integrals Involving E-Functions
- An Integral Involving Two Legendre Functions
- A Definite Integral for Bessel's Function
- On some integral formulae containing Bessel functions
- The Generalized Dirichlet’s Multiple Integral
- Double integrals involving Legendre functions
- The Generalized G-Transform
- On Integrals Involving Parabolic Cylinder Functions
- On Finite Integrals Involving Trigonometric, Bessel, and Legendre Functions
- Mehler's Integral for P n (cos0)
- A table of integrals of exponential integral
- A table of integrals of the Error functions
- Integral Relations Among Bessel Functions
- Integrals Involving Products of Modified B<scp>ESSEL</scp> Functions of the Second Kind
- On a Bessel Function Integral
- An Expansion of MEIJER's G‐Function in the Logarithmic Case with Applications
- An Integral Involving the Product of three H Functions
- An Infinite Integral Involving Meijer G-Function
- On some indefinite integrals of confluent hypergeometric functions
- An Infinite Integral Involving the Product of Three Spherical Bessel Functions
- Extensions of Dirichlet’s Multiple Integral
- Extensions of an Euler's Integral Through Statistical Techniques
- Evaluation of some Integrals by Contour Integration
- Zur geschlossenen Auswertung einiger bei regelungstechnischen Problemen auftretender Integrale
- Some Integrals of the Arctangent Function
- A Class of Multiple Integrals
- On the value of a logarithmic-trigonometric integral
- An Elliptic Integral Identity
- A Closed Form Evaluation of the Elliptic Integral
- Lattice Green's Functions for the Cubic Lattices in Terms of the Complete Elliptic Integral
- Calculation of the Lattice Green's Function for the bcc, fcc, and Rectangular Lattices
- On integral representation involving Meijer's $G$-function
- Einige neue Darstellungen des Di‐ und Trilogarithmus
- On integrals of Bessel functions related to Weber's second exponential integral
- Further generalizations of Neumann's integral
- A Watson Sum for a Cubic Lattice
- Zur Berechnung des vollständigen elliptischen Integrals dritter Gattung durch Rekursion
- THE SUMMABILITY (L) OF THE DIFFERENTIATED FOURIER SERIES
- Evaluation of a generalized elliptic-type integral
- The Evaluation of Some Definite Integrals Involving Bessel Functions Which Occur in Hydrodynamics and Elasticity
- Integrals involving products of modified Bessel functions of the second kind
- A generalization of Sonine's first finite integral
- A Note on Certain Integrals
- Integrals involving products of Bessel functions
- Berechnung einiger Laplace‐ und Fourier‐Integrale
- A Note on the Integral with an Application to Schlomilch Series
- Integrals of Products of Laguerre Polynomials
- VIII.—Some Series and Integrals involving Associated Legendre Functions, regarded as Functions of their Degrees
- A CLASS OF DISCONTINUOUS INTEGRAL
- Some Infinite Integrals Involving Bessel Functions (II)
- The Asymptotic Expansion of the Generalized Hypergeometric Function
- EINIGE INTEGRALDARSTELLTUNGEN FÜR PRODUKTE VON WHITTAKERSCHEN FUNKTIONEN
- II.—Some Formulæ for the Associated Legendre Functions of the Second Kind; with corresponding Formulæ for the Bessel Functions
- AN INTEGRAL REPRESENTATION FOR THE PRODUCT OF TWO WHITTAKER FUNCTIONS
- Integrals Involving Legendre Functions
- SOME INTEGRALS INVOLVING BESSEL FUNCTIONS
- An Integral Representation for the Product of Two Hermite Polynomials
- Some Integral Formulae Involving Associated Legendre Functions
- On Certain Functions which are Self-Reciprocal in the Hankel Transform
- ON THE PRODUCT OF TWO LAGUERRE POLYNOMIALS
- The Evaluation of Certain Integrals Involving Products of Hermite Polynomials
- TRANSFORMATION OF HYPERGEOMETRIC INTEGRALS BY MEANS OF FRACTIONAL INTEGRATION BY PARTS
- Two infinite integrals
- On Serret’s integral formula
- ON THE PRODUCT OF TWO ASSOCIATED LEGENDRE FUNCTIONS
- SOME INTEGRALS INVOLVING LEGENDRE AND BESSEL FUNCTIONS
- The Asymptotic Expansion of the Generalized Hypergeometric Function
- Unbestimmte Integrale mit Produkten von Zylinderfunktionen
- ON THE DOUBLE-INTEGRAL REPRESENTATION OF APPELL'S FUNCTION F4
- INTEGRATION OF THE DIFFERENTIAL EQUATIONS OF APPELL'S FUNCTION F4
- Repeated Integrals of Bessel Functions and the Theory of Transients in Filter Circuits
- Beiträge zur Theorie der Heineschen Reihen. Die 24 Integrale der hypergeometrischen q‐Differenzengleichung. Das q‐Analogon der Laplace‐Transformation
- A Double Integral
- Some Integrals Involving Hermite Polynomials
- Some Integrals Involving Hermite Polynomials
- Some Integrals Involving Hermite Polynomials
- Nicholson’s integral for 𝐽_{𝑛}²(𝑧)+𝑌_{𝑛}²(𝑧)
- Some Integrals Involving Hermite Polynomials
- Some Definite Integrals Involving Confluent Hypergeometric Functions
- Evaluation of an Integral of a Bessel Function
- On the evaluation of Planck's integral
- Discontinuous Integrals and Generalized Potential Theory
- On the Extension of Some Lommel Integrals to Struve Functions With an Application to Acoustic Radiation
- On Sonine’s integral formula and its generalization
- ON THE INTEGRO-EXPONENTIAL FUNCTION AND THE EVALUATION OF SOME INTEGRALS INVOLVING IT
- BASIC INTEGRATION
- The termination of the afferent nerve fibre in the muscle spindle of the frog
- On the calculation of some definite integrals in antenna theory
- INTERGALS REPRESENTING GENERAL HYPERGEOMETRIC TRANSFORMATIONS
- Calculation of Heteronuclear Molecular Integrals
- TWO DOUBLE HYPERGEOMETRIC INTEGRALS
- An Integral involving an E-function and an Associated Legendre Function of the First Kind
- An Integral involving a Modified Bessel Function of the Second Kind and an E-function
- Integrals involving E-functions
- Some Integrals involving E-Functions
- Integrals of E-Functions expressed in Terms of E-Functions
- An Integral Involving the Product of a Bessel Function and an E-Function
- Generalisations of some Integrals Involving Bessel Functions and E-Functions
- On the Evaluation of Dirichlet's Integral
- Integrals Involving E-Functions and Modified Bessel Functions of the Second Kind
- Integrals Involving a Modified Bessel Function of the Second Kind and an E-Function
- An Integral Involving a Product of Two Modified Bessel Functions of the Second Kind
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Infinite Integrals Containing Bessel Function Products
- On Some Sums and Integrals Involving Bessel Functions
- Evaluation of Some Integrals Involving the ψ-Function
- Integration of Bilateral Hypergeometric Series with Respect To Their Parameters
- A note on the integrals involving product of Hermite's polynomials
- Some Recursive Formulas for Evaluation of a Class of Definite Integrals
- A Note on Double Transformations of Certain Hypergeometric Functions
- Integrals involving Bessel and Legendre functions
- On the theory of the operational calculus for the Bessel equation
- On Some Properties of the Integrals and
- Integrals involving E-functions
- Integral Representations of the Extended Airy Integral Type for the Modified Bessel Function
- Generalised Meijer Transforms
- Indefinite Integration by Residues
- [https://portal.mardi4nfdi.de/wiki/Publication:5524859 Evaluation of the Integral I n (b) = 2 π � ∞ 0 � � � sinx x � � � n cos(bx) dx]
- Some Special Integrals
- Evaluation of Certain Improper Integrals by Residues
- A Closed Form for Elsasser Integrals
- A Note on Integrals Involving Parabolic Cylinder Functions
- Evaluation of a definite integral containing a Bessel function
- Eine Darstellung des unvollständigen Schwarz‐Christoffelschen Abbildungsintegrals
- Calculations of Integrals of Products of Bessel Functions
- Indefinite integrals involving Bessel functions
- Generalization of a Bessel Function Integral
- The Evaluation of an Integral Involving the Product of Two Gegenbauer Polynomials
- A Note on Integrals Involving Parabolic Cylinder Functions
- The Integration of Bessel Functions
- E-transforms
- On Evaluating a Certain Integral
- E-transforms (II)
- Recursive Formulae for the Computation of Certain Integrals of Bessel Functions
- Formulas for Integrals of Products of Associated Legendre or Laguerre Functions
- Some Definite Integrals and Fourier Series for Jacobian Elliptic Functions
- Triple Product Integrals of Laguerre Functions
- On an integral involving the H-function
- Eine Integralbeziehung Legendrescher Funktionen
- Fractional Derivatives and Special Functions
- A method of evaluating integrals of rme-arjn(Qr)
- On Finite Laplace Transformation with Applications
- Definite integrals of the complete elliptic integral K
- Integrals of products of Airy functions
- Elliptic Integrals of the First Kind
- The three-dimensional convolution of reduced Bessel functions and other functions of physical interest
- The Value of a Definite Integral
- New Relations between Two Types of Bessel Function Integrals
- On the evaluation of an integral connected with the thermonuclear reaction rate in closed form
- Analytic evaluation of an important integral in collision theory
- Evaluation of Some Integrals Encountered in Calculations in Many-fermion Systems
- Short Proofs of Three Theorems on Elliptic Integrals
- Regions of the n-sphere and related integrals
- Tables of Weyl fractional integrals for the Airy function
- SOME TRANSFORMATIONS OF GENERALIZED HYPERGEOMETRIC SERIES, AND CONTOURINTEGRALS OF BARNES'S TYPE
- Integrals of Products of Bessel Functions
- INTEGRALS EXPRESSING PRODUCTS OF BESSEL'S FUNCTIONS
- A Note on An Integral Due To Ramanujan
- The Operational Calculus and the Evaluation of Kapteyn Integrals
- Relations between some Definite Integrals Involving Self-Reciprocal Functions
- Operational Representations of Whittaker's Confluent Hypergeometric Function and Weber's Parabolic Cylinder Function
- A class of discontinuous integrals involving Bessel functions
- Love's integral and other relations between solutions to mixed boundary-value problems in potential theory
- An Infinite Integral Involving Bessel Functions
- XIII.—Some Integrals, with respect to their Degrees, of Associated Legendre Functions
- The Dual Integral Representations of Kummer's Series 1 F 1 (a; c; x )
- Some Definite Integrals of the Product of Two Bessel Functions of the Second Kind: (Order Zero)
- Some Integrals Involving Associated Legendre Functions
- Integrals of Products of Laguerre Polynomials
- Technique for Evaluating Indefinite Integrals Involving Products of Certain Special Functions
- On the Hankel transform of a generalized Laguerre polynomial and on the convolution involving special Bessel functions
- Note on the Integrals of Products of Associated Legendre Functions
- Footnote to the evaluation of certain complex elliptic integrals
- ON SOME FORMULAE FOR INTEGRALS OF ASSOCIATED LEGENDRE FUNCTIONS
- The Laplace Transform of the Modified Bessel Function K(t±mx) where m = 1, 2, 3, …, n
- Evaluation of Certain Integrals Involving Bessel Functions
- A Note on Evaluation of the Integral
- The Inverse Laplace Transform of the Product of Bessel and Whittaker Functions
- Some infinite integrals involving E-functions
- Some Integral Formulas for the Complete Elliptic Integrals of the First and Second Kind
- Some Special Integrals
- On a Class of Integrals Related to Those of Raabe and Laplace occurring in the theory of Water Waves
- Some Integrals Relating to the I e -Function
- The Incomplete Liouville Multiple Integral and its Application
- Combinatorial Applications of Hermite Polynomials
- A Remarkable Property of Definite Integrals
- Laplace transforms of Airy functions
- Analytical Calculation of a Class of Integrals Containing Exponential and Trigonometric Functions
- A simple proof of a transformation formula for elliptic integrals
- Euler's Integrals
- The Inverse Laplace Transform of the Modified Bessel Function Kmn (a 1/2m p 1/2m )
- Numerical Values of Some Integrals involving Bessel Functions
- Some Integrals Occurring in the Theory of Rubber Viscosity
- On Certain Multiple Integrals Occurring in a Waveguide Scattering Problem
- The Fractional Order Fourier Transform and its Application to Quantum Mechanics
- Ramanujan's Extensions of the Gamma and Beta Functions
- A unified radon inversion formula
- A class of double integrals involving Gaussian and trigonometric factors
- Lattice Green’s functions for cubic lattices
- Moivre's and Fresnel's Integrals by Simple Integration
- On Some Orthogonal Polynomial Integrals
- Representation of Special Functions by Differintegral and Hyperdifferential Operators
- Non-classical integrals of Bessel functions
- Some Basic Hypergeometric Extensions of Integrals of Selberg and Andrews
- Some integrals involving associated Legendre functions and Gegenbauer polynomials
- The Laplace Transform of a Product of Bessel Functions
- Repeating Use of Integral Transforms—A New Method for Evaluation of Some Infinite Integrals
- On Stieltjes Integral Transforms Involving Γ-Functions
- On a simple unified method of deriving recurrence relations among elliptic integrals
- Integrals of Jacobi Functions
- Recurrence Relations for the Indefinite Integrals of the Associated Legendre Functions
- Evaluation of Certain Real Integrals by Contour Integration
- Hypervirial calculation of integrals involving Bessel functions
- Simultaneous Reduction and Expansion of Multidimensional Laplace Transform Kernels
- Complete elliptic integrals resulting from infinite integrals of Bessel functions
- Some integrals involving the<tex>Q_M</tex>function (Corresp.)
- An Integral Representation for the Product of Two Jacobi Polynomials†
- Concerning $\int _0^\infty e^{ - at} J_\mu (bt)J_\nu (ct)t^{\mu - \nu} dt$
- Further Integrals Involving E-Functions
- An Extension of Schuster's Integral
- A General Theorem in Laplace Transforms
- New Forms of Certain Integrals
- SOME INTEGRALS INVOLVING E-FUNCTIONS AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
- On the repeated integrals of Bessel functions
- On certain infinite integrals involving Struve functions and parabolic cylinder functions
- On certain integrals of Lipschitz-Hankel type involving products of bessel functions
- Spezielle Integrale mit Zylinder‐ und Kugelfunktionen
- Note on an Integral of Ramanujan
- On the evaluation of indefinite integrals involving the special functions: development of method
- On the evaluation of indefinite integrals involving the special functions: application of method
- Integrals for Asymptotic Expansions of Hypergeometric Functions
- Integrals Involving E-Functions and Associated Legendre Functions
- Integrals Involving Products of Modified Bessel Functions of the Second Kind
- THE INTEGRAL OF THE ASSOCIATED LEGENDRE FUNCTION
- On Certain Infinite Integrals Involving Bessel Functions
- Two Integrals involving Modified Bessel Functions of the Second Kind
- Some Results involving Hypergeometric and E-Functions
- NOTE ON THE DEFINITE INTEGRAL OVER PRODUCTS OF THREE LEGENDRE FUNCTIONS
- On Meijer transform
- On the product of two confluent hypergeometric functions
- Integrals involving E-functions
- Integrals involving products of Bessel functions
- Integrals involving E-functions
- Integrals involving a generalized function of two variables
- On the application of transforms for computation of integrals involving Legendre's function
- On the product of two confluent hypergeometric functions
- Integrals involving products of Bessel functions
This page was built for publication: Evaluation of integrals and the Mellin transform