Inequalities for some integrals involving modified Bessel functions

Gaunt, Robert

doi:10.1090/proc/14433

Inequalities for some integrals involving modified Bessel functions
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by Robert E. Gaunt PDF

Proc. Amer. Math. Soc. 147 (2019), 2937-2951 Request permission

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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