## 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.

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.

Original language | English |
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Pages (from-to) | 2937-2951 |

Journal | Proceedings of the American Mathematical Society |

Volume | 147 |

Issue number | 7 |

Early online date | 5 Mar 2019 |

DOIs | |

Publication status | Published - Jul 2019 |