Inequalities for some integrals involving modified Bessel functions
Classical Analysis and ODEs
2019-04-23 v2
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.
Cite
@article{arxiv.1806.00524,
title = {Inequalities for some integrals involving modified Bessel functions},
author = {Robert E. Gaunt},
journal= {arXiv preprint arXiv:1806.00524},
year = {2019}
}
Comments
16 pages