paper

Inequalities for some integrals involving modified Bessel functions

arXiv:1806.00524

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.

16 pages

Inequalities for some integrals involving modified Bessel functions · wovepaper