Bounds for modified Bessel functions of the first and second kinds
From MaRDI portal
Publication:4933540
DOI10.1017/S0013091508001016zbMath1202.33008OpenAlexW1990869950MaRDI QIDQ4933540
Publication date: 14 October 2010
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0013091508001016
Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)
Related Items (55)
Integral representations for Neumann-type series of Bessel functions $I_{𝜈},$ $Y_{𝜈}$ and $K_{𝜈}$ ⋮ Inequalities on an extended Bessel function ⋮ Monotonicity rules for the ratio of two Laplace transforms with applications ⋮ Bounds on ratios of modified Bessel functions with complex arguments ⋮ The index of Dirac operators on incomplete edge spaces ⋮ Redheffer type bounds for Bessel and modified Bessel functions of the first kind ⋮ Landen inequalities for special functions ⋮ Extension of Huygens type inequalities for Bessel and modified Bessel Functions ⋮ Tempered Hermite process ⋮ Uniform structural stability of Hagen-Poiseuille flows in a pipe ⋮ Properties of the Product of Modified Bessel Functions ⋮ On generalized Bessel-Maitland function ⋮ Convexity of a ratio of the modified Bessel functions of the second kind with applications ⋮ Functional inequalities for modified Struve functions ⋮ Uniqueness of a spherically symmetric refractive index from modified transmission eigenvalues ⋮ Bounds for the generalized Marcum \(Q\)-function ⋮ Complete monotonicity of a difference between the exponential and trigamma functions and properties related to a modified Bessel function ⋮ Sharp bounds for the ratio of modified Bessel functions ⋮ Bounds for modified Struve functions of the first kind and their ratios ⋮ Convexity of ratios of the modified Bessel functions of the first kind with applications ⋮ Monotonicity and complete monotonicity of some functions involving the modified Bessel functions of the second kind ⋮ Uniqueness and uniform structural stability of Poiseuille flows in a periodic pipe with Navier boundary conditions ⋮ Evaluation of Inverse Fourier Pressure Integrals for Finite Acoustic Sources on Cylindrical Baffles ⋮ Probabilistic and analytical aspects of the symmetric and generalized Kaiser-Bessel window function ⋮ The generalized Marcum function of the second kind: monotonicity patterns and tight bounds ⋮ Inequalities for Gaussian hypergeometric functions ⋮ On the evaluation of an integral involving the Whittaker \(W\) function ⋮ Modified Dini functions: monotonicity patterns and functional inequalities ⋮ Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications ⋮ Truncation error analysis in computing of SEP and SEP floor for partially coherent receiver of MPSK signals over composite fading channels ⋮ Bounds for functions involving ratios of modified Bessel functions ⋮ The monotonicity and convexity for the ratios of modified Bessel functions of the second kind and applications ⋮ Inequalities for some integrals involving modified Bessel functions ⋮ Second Type Neumann Series Related to Nicholson’s and to Dixon–Ferrar Formula ⋮ Functional estimates for derivatives of the modified Bessel function \(K_0\) and related exponential functions ⋮ Inequalities of extended beta and extended hypergeometric functions ⋮ Functional inequalities and monotonicity results for modified Lommel functions of the first kind ⋮ On approximating the modified Bessel function of the second kind ⋮ Inequalities for integrals of modified Bessel functions and expressions involving them ⋮ On the uniqueness of solution to generalized Chaplygin gas ⋮ Integral representations and summations of the modified Struve function ⋮ Bounds for the asymptotic order parameter of the stochastic Kuramoto model ⋮ Inequalities for modified Bessel functions and their integrals ⋮ Some inequalities for modified Bessel functions ⋮ Finite differences of the logarithm of the partition function ⋮ Bounds for an integral of the modified Bessel function of the first kind and expressions involving it ⋮ Resolvent trace asymptotics on stratified spaces ⋮ Continuous window functions for NFFT ⋮ On the convergence rate of the quasi- to stationary distribution for the Shiryaev-Roberts diffusion ⋮ Bounds for modified Lommel functions of the first kind and their ratios ⋮ Monotonicity and inequalities involving the modified Bessel functions of the second kind ⋮ Uniform error estimates for nonequispaced fast Fourier transforms ⋮ Scattering Resonances for a Two-Dimensional Potential Well with a Thick Barrier ⋮ The geometric characterizations for a combination of generalized Struve functions ⋮ Bounds for Turánians of modified Bessel functions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Tight bounds for the generalized Marcum \(Q\)-function
- Functional inequalities involving special functions. II
- Inequalities involving modified Bessel functions of the first kind. II
- Turán type inequalities for generalized complete elliptic integrals
- Inequalities involving Bessel and modified Bessel functions
- Functional inequalities involving Bessel and modified Bessel functions of the first kind
- Some inequalities for modified Bessel functions
- Certain monotonicity properties of Bessel functions
- Remarks on a paper by Giordano, Laforgia, and Pečarić
- Rational approximations for the modified Bessel function of the second kind
- An inequality for the Bessel functions of the first kind with imaginary argument
- Bounds for Bessel functions
- Monotonicity of the zeros of a cross product of Bessel functions
- Supplements to known inequalities for some special functions
- Inequalities for some special functions
- Generalized elliptic integrals
- Functional inequalities involving special functions
- Landen-type inequality for Bessel functions
- Inequalities for generalized hypergeometric functions
- Turán type inequalities for hypergeometric functions
- On a product of modified Bessel functions
- Special Functions, Stieltjes Transforms and Infinite Divisibility
- Rational Bounds for Ratios of Modified Bessel Functions
- Completely monotonic functions
- New Bounds for the Generalized Marcum $Q$-Function
- Functional inequalities for Galué's generalized modified Bessel functions
- On an Inequality for Modified Bessel Functions
- The Monotonicity of Modified Bessel Functions with Respect to Their Order
- An Extension of an Inequality Involving Modified Bessel Functions
- What is the Laplace Transform?
- Bounds for modified Bessel functions
- Bounds for modified Bessel functions
This page was built for publication: Bounds for modified Bessel functions of the first and second kinds
