Monotonicity properties for ratios and products of modified Bessel functions and sharp trigonometric bounds

DOI10.1007/s00025-021-01531-1zbMath1492.33004arXiv2105.02524OpenAlexW3207418640MaRDI QIDQ2051425

Yanyan Li

Publication date: 24 November 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.02524

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Inequalities involving other types of functions (26D07)

Related Items (3)

Simple bounds with best possible accuracy for ratios of modified Bessel functions ⋮ Vacuum energy of scalar fields on spherical shells with general matching conditions ⋮ Convolution of beta prime distribution

Uses Software

• DLMF

Cites Work

• Unnamed Item
• A new type of sharp bounds for ratios of modified Bessel functions
• Bounds for the product of modified Bessel functions
• Bounds for ratios of modified Bessel functions and associated Turán-type inequalities
• Some inequalities for modified Bessel functions
• Amos-type bounds for modified Bessel function ratios
• Bounds for Turánians of modified Bessel functions
• Re-formulation of inverse Gaussian, reciprocal inverse Gaussian, and Birnbaum-Saunders kernel estimators
• The monotonicity and convexity for the ratios of modified Bessel functions of the second kind and applications
• Some monotonicity results for ratios of modified Bessel functions
• Monotonicity of some modified Bessel function products
• On a product of modified Bessel functions
• Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications
• The Capacity Achieving Distribution for the Amplitude Constrained Additive Gaussian Channel: An Upper Bound on the Number of Mass Points
• Uniform (very) sharp bounds for ratios of parabolic cylinder functions

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