一些Dini函数的单调性

2014 IEEE 9th IEEE International Symposium on Applied Computational Intelligence and Informatics (SACI) Pub Date : 2014-02-04 DOI:10.1109/SACI.2014.6840085

Á. Baricz, T. Pogány, R. Szász

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引用次数: 9

摘要

本文的目的是利用最近发展的第一类归一化贝塞尔函数导数的mittagg - leffler展开式，推导出一类贝塞尔函数的特殊组合的一些新的单调性性质。利用这些单调性，得到了一类贝塞尔函数的一些新的不等式。

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Monotonicity properties of some Dini functions

In this note our aim is to deduce some new monotonicity properties for a special combination of Bessel functions of the first kind by using a recently developed Mittag-Leffler expansion for the derivative of a normalized Bessel function of the first kind. These monotonicity properties are used to obtain some new inequalities for Bessel functions of the first kind.

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来源期刊

2014 IEEE 9th IEEE International Symposium on Applied Computational Intelligence and Informatics (SACI)

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