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arXiv · 1806.00524

Inequalities for some integrals involving modified Bessel functions

Robert E. Gaunt
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Abstract

Simple inequalities are established for some integrals involving the modified Bessel functions of the first and second kind. In most cases these inequalities are tight in certain limits. As a consequence, we deduce a tight double inequality, involving the modified Bessel function of the first kind, for a generalized hypergeometric function. We also present some open problems that arise from this research.

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Robert E. Gaunt. 2018-06-01. Inequalities for some integrals involving modified Bessel functions. https://arxiv.org/abs/1806.00524

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