On a product of modified Bessel functions
From MaRDI portal
Publication:3600598
DOI10.1090/S0002-9939-08-09571-3zbMath1195.33008MaRDI QIDQ3600598
Publication date: 5 February 2009
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)
Related Items (38)
Optimal constants and extremisers for some smoothing estimates ⋮ Quantum confinement on non-complete Riemannian manifolds ⋮ Coulomb Green's function and image potential near a cylindrical diffuse interface ⋮ Bounds for the product of modified Bessel functions ⋮ Turán determinants of Bessel functions ⋮ Properties of the Product of Modified Bessel Functions ⋮ Hidden truncation hyperbolic distributions, finite mixtures thereof, and their application for clustering ⋮ Spectral asymptotics for \(\delta\)-interactions on sharp cones ⋮ Bounds for ratios of modified Bessel functions and associated Turán-type inequalities ⋮ Bounds for modified Struve functions of the first kind and their ratios ⋮ Vortex rigid motion in quasi-geostrophic shallow-water equations ⋮ Rigorous derivation of the Efimov effect in a simple model ⋮ Simple bounds with best possible accuracy for ratios of modified Bessel functions ⋮ Turán type inequalities for Tricomi confluent hypergeometric functions ⋮ Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications ⋮ 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 ⋮ Functional inequalities for modified Bessel functions ⋮ On a sum of modified Bessel functions ⋮ Second Type Neumann Series Related to Nicholson’s and to Dixon–Ferrar Formula ⋮ Turán type inequalities for Krätzel functions ⋮ Topological sensitivity analysis for the modified Helmholtz equation under an impedance condition on the boundary of a hole ⋮ On Turán type inequalities for modified Bessel functions ⋮ Recursive computation of logarithmic derivatives, ratios, and products of spheroidal harmonics and modified Bessel functions and applications ⋮ Inequalities for integrals of modified Bessel functions and expressions involving them ⋮ Some inequalities for modified Bessel functions ⋮ TURÁN TYPE INEQUALITIES FOR MODIFIED BESSEL FUNCTIONS ⋮ Bounds for modified Bessel functions of the first and second kinds ⋮ Multiplicative strong unimodality for positive stable laws ⋮ Bounds for an integral of the modified Bessel function of the first kind and expressions involving it ⋮ Monotonicity properties for ratios and products of modified Bessel functions and sharp trigonometric bounds ⋮ Universal bounds and monotonicity properties of ratios of Hermite and parabolic cylinder functions ⋮ Bounds for modified Lommel functions of the first kind and their ratios ⋮ Monotonicity and inequalities involving the modified Bessel functions of the second kind ⋮ Bounds for an integral involving the modified Struve function of the first kind ⋮ Gradient estimates for elliptic operators with second-order discontinuous coefficients ⋮ Bounds for Turánians of modified Bessel functions ⋮ Global boundary conditions for a Dirac operator on the solid torus
Cites Work
- Unnamed Item
- Unnamed Item
- Turán type inequalities for generalized complete elliptic integrals
- Functional inequalities involving Bessel and modified Bessel functions of the first kind
- An inequality for the Bessel functions of the first kind with imaginary argument
- Monotonicity of the zeros of a cross product of Bessel functions
- On some Turán-type inequalities
- Turán type inequalities for some probability density functions
- Monotonicity of some modified Bessel function products
- Turán type inequalities for hypergeometric functions
- Rational Bounds for Ratios of Modified Bessel Functions
- Monotonicity of the Zeros of a Cross-Product of Bessel Functions
- Computation of Modified Bessel Functions and Their Ratios
- Completely monotonic functions
- Bessel Function Approximations
This page was built for publication: On a product of modified Bessel functions