Bounds for modified Bessel functions
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Publication:5896523
DOI10.1016/0377-0427(91)90087-ZzbMath0726.33003MaRDI QIDQ5896523
Publication date: 1991
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Related Items (35)
Integral representations for Neumann-type series of Bessel functions $I_{𝜈},$ $Y_{𝜈}$ and $K_{𝜈}$ ⋮ Fourier-Bessel heat kernel estimates ⋮ Monotonicity rules for the ratio of two Laplace transforms with applications ⋮ Coulomb Green's function and image potential near a cylindrical diffuse interface ⋮ Bounds for the product of modified Bessel functions ⋮ Properties of the Product of Modified Bessel Functions ⋮ Functional inequalities for modified Struve functions ⋮ Inequalities for some special functions ⋮ Bounds for modified Struve functions of the first kind and their ratios ⋮ Heat kernel estimates for the Bessel differential operator in half-line ⋮ Turán type inequalities for Tricomi confluent hypergeometric functions ⋮ The logarithmic concavity of modified Bessel functions of the first kind and its related functions ⋮ Trace class Markov chains for the normal-gamma Bayesian shrinkage model ⋮ Discussion ⋮ The monotonicity and convexity for the ratios of modified Bessel functions of the second kind and applications ⋮ Exit times densities of the Bessel process ⋮ Functional inequalities for modified Bessel functions ⋮ Geometric ergodicity for Bayesian shrinkage models ⋮ Turán type inequalities for Krätzel functions ⋮ On approximating the modified Bessel function of the second kind ⋮ Recursive computation of logarithmic derivatives, ratios, and products of spheroidal harmonics and modified Bessel functions and applications ⋮ Bounds for modified Bessel functions ⋮ Some inequalities for modified Bessel functions ⋮ Bounds for modified Bessel functions of the first and second kinds ⋮ Inequalities for Humbert functions ⋮ Chasing volatility. A persistent multiplicative error model with jumps ⋮ Subordination, self-similarity, and option pricing ⋮ Bounds for modified Lommel functions of the first kind and their ratios ⋮ Monotonicity and inequalities involving the modified Bessel functions of the second kind ⋮ Hartman-Watson distribution and hyperbolic-like heat kernels ⋮ Analysis of Boundary Effects on PDE-Based Sampling of Whittle--Matérn Random Fields ⋮ Asymptotic behaviour of the Bessel heat kernels ⋮ Scattering Resonances for a Two-Dimensional Potential Well with a Thick Barrier ⋮ Tsunamis and ripples: effects of scalar waves on screening in the Milky Way ⋮ Sharp estimates of transition probability density for Bessel process in half-line
Cites Work
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- Some monotonicity results for ratios of modified Bessel functions
- Inequalities for Modified Bessel Functions
- On an Inequality for Modified Bessel Functions
- An Extension of an Inequality Involving Modified Bessel Functions
- Inequalities for Bessel functions
- Bounds for modified Bessel functions
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