Bounds for modified Bessel functions of the first and second kinds-Reference-Cited by-同舟云学术

Bounds for modified Bessel functions of the first and second kinds

Published:2010-08-05 Issue:3 Volume:53 Page:575-599
ISSN:0013-0915
Container-title:Proceedings of the Edinburgh Mathematical Society
language:en
Short-container-title:Proceedings of the Edinburgh Mathematical Society

Author:

Baricz Árpád

Abstract

AbstractSome new inequalities for quotients of modified Bessel functions of the first and second kinds are deduced. Moreover, some developments on bounds for modified Bessel functions of the first and second kinds, higher-order monotonicity properties of these functions and applications to a special function that arises in finite elasticity, are summarized. The key tool in our proofs is a frequently used criterion for the monotonicity of the quotient of two Maclaurin series.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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