Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
scientific article - MaRDI portal

scientific article

From MaRDI portal
Publication:3291652

zbMath0106.04301MaRDI QIDQ3291652

Yudell L. Luke

Publication date: 1962


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items (96)

Numerical methods for Cauchy principal value integrals of oscillatory Bessel functionsNew expression for CDF of \(\chi_{\nu}^{\prime 2}(\lambda)\) distribution and Marcum \(Q_1\) functionOn series connection of infinitely many \textit{RLC} two-portsSome expansion formulas for incomplete \(H\)- and \(\overline{H}\)-functions involving Bessel functionsOn the unsteady rotating fluid flow in a uniformly rotating or fixed vertical cylinderGeneralized spheroidal wave equation and limiting casesNeumann series of Bessel functionsExponential-Bessel partial differential equation and Fox's \(H\)-functionAnalytical formulas for shear and bulk viscosities in relativistic gaseous mixtures with constant cross sectionsA unified theory of polynomial expansions and their applications involving Clebsch-Gordan type linearization relations and Neumann seriesOptimizing an objective function under a bivariate probability modelUnnamed ItemSome notes on Sonine–Gegenbauer integralsJacobi Polynomial Expansions of a Generalized Hypergeometric Function over a Semi-Infinite RayOn the Evaluation of Integrals Related to the Error FunctionCalculations of Integrals of Products of Bessel FunctionsAnalytical Solutions and a Numerical Algorithm for the Gauss's Hypergeometric Function 2F1 (a, b; c; z)A Lipschitz-Hankel integral of \(K_ 0\)Unnamed ItemUnivalence criteria for general integral operators using the Struve and Bessel functionsBoundary element method solution of MHD flow in a rectangular duct ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:3960211 An analytical method to determine the underground-coupling between rigid strip-foundations bonded to the surface of a half-space subjected to harmonic excitation;Ein analytisches Verfahren zur Berechnung der Untergrundkopplung von mehreren starren, auf der Halbraumoberfl�che liegenden Streifenfundamenten bei harmonischer Erregung] ⋮ On a constant in the theory of trigonometric seriesAn Elementary Existence Proof for the Blasius EquationSome Probability Density Functions and Their Characteristic FunctionsAsymptotic behaviour of infinite chains of coupled kinematic points: second-order equationsA note on Love's equation with dampingSome Definite Integrals of the Product of Two Bessel Functions of the Second Kind: (Order Zero)Symplectic Method-Based Analytical Solutions of Thermal Buckling for Shear Deformable Circular Functionally Graded PlatesEvaluation of Integrals of Howland Type Involving a Bessel FunctionEfficient computational methods of highly oscillatory Bessel transforms with a singular point of Cauchy type and a nonlinear special oscillatorA fast, rapidly convergent Nyström solver for electromagnetic scattering from orthotropic mediaAn efficient quadrature rule for the oscillatory infinite generalized Bessel transform with a general oscillator and its error analysisEfficient methods for Volterra integral equations with highly oscillatory Bessel kernelsConvergence of a low order non-local Navier–Stokes–Korteweg system: The order-parameter modelAsymptotic expansion and quadrature rule for a class of singular-oscillatory-Bessel-type transformsNumerical Computation of a Generalized Exponential Integral FunctionOn the solution of the monoenergetic neutron Boltzmann equation in cylindrical geometryIntegral Relations Among Bessel FunctionsA note on the numerical evaluation of finite integrals of oscillatory functionsThe Evaluation of a Class of Functions Defined by an IntegralUniform Computation of the Error Function and Other Related FunctionsHypergeometric solutions for Coulomb self-energy model of uniformly charged hollow cylinderFormulas and Inequalities for Some Special Functions of a Complex VariableAsymptotic equivalence for regression under fractional noiseSpectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctionsIterative approximation for a boundary value problem arising for the electrical potential on a cylindrical double layerInfinite integrals involving Bessel functions by an improved approach of contour integration and the residue theoremDas Strömungsfeld in der Umgebung einer längsangeströmten ebenen Platte im Bereich der freien MolekülströmungUnsteady elastico-viscous flow in a curved pipeOn a Bessel function integralRational Approximations to Generalized Hypergeometric FunctionsA Fredholm Transformation for the Rapid Stabilization of a Degenerate Parabolic EquationThe Asymptotic Expansions of Hankel Transforms and Related IntegralsUnnamed ItemThe inverse Laplace transform of the modified Lommel functionsOn the implementation of the asymptotic Filon-type method for infinite integrals with oscillatory Bessel kernelsVector potentials for the gravitational interaction of extended bodies and laminas with analytical solutions for two disksReductions of a generalized incomplete gamma function, related Kampé de Fériet functions, and incomplete Weber integralsEddy currents in MRI gradient coils configured as rings and patchesComments on ``Asymptotic expansion of a Bessel function integral using hypergeometric functions by L. J. Landau and N. J. LuswiliA limit of the confluent Heun equation and the Schrödinger equation for an inverted potential and for an electric dipoleA Priori Bounds for Flow Past a ParaboloidApproximation of functions of several variables by spherical Riesz meansUnnamed ItemIncomplete Exponential and Hypergeometric Functions with Applications to the Non Central χ2-DistributionEvaluation of integrals and the Mellin transformUses of integral transforms with non‐standard kernelsTopological invariants of eigenvalue intersections and decrease of Wannier functions in grapheneSurface settlement of a finite elastic layer whose modulus increases linearly with depthOn the impact end in longitudinal dynamic plastic wave propagationA note on visoplastic wave propagationAn accurate approximation of exponential integrators for the Schrödinger equationAsymptotic analysis and numerical methods for oscillatory infinite generalized Bessel transforms with an irregular oscillatorResponse of a uniform unbounded ocean to a moving tropical cycloneHypergeometric solutions to a three dimensional dissipative oscillator driven by aperiodic forcesWave splitting of the Timoshenko beam equation in the time domainMagnetohydrodynamic flow in a rectangular channel at high Hartmann numberNumerical approximations for highly oscillatory Bessel transforms and applicationsExpansion formulas for generalized hypergeometric functionsSome expansions associated with Bessel and hypergeometric functionsIntegral representation for Neumann series of Bessel functionsBounds for modified Lommel functions of the first kind and their ratiosRecursion formulae for generalized hypergeometric functionsUnnamed ItemImproving the numerical evaluation of certain oscillatory integralsAn algorithm for generating sequences defined by non-homogeneous difference equationsThe long-time behavior of initially separated \(\text{A+B}\to 0\) reaction-diffusion systems with arbitrary diffusion constantsRepresentation formulae for nonhomogeneous differential operators and applications to PDEsOn steady particle motion in circular gravity wavesOn semi-classical linear functionals of class \(s=1\). Classification and integral representationsLaminare, instationäre Strömung im Ringraum zwischen zwei Rohren, von denen das innere harmonisch schwingtUnnamed ItemInce’s limits for confluent and double-confluent Heun equationsOn the Birman-Schwinger principle applied to −Δ+m2−mA NOTE ON THE ASYMPTOTIC EXPANSION OF GENERALIZED HYPERGEOMETRIC FUNCTIONS




This page was built for publication: