Bounds for functions involving ratios of modified Bessel functions

被引：13

作者：

Kokologiannaki, Chrysi G. ^{[1
]}

机构：

[1] Univ Patras, Dept Math, Patras 26500, Greece

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 385卷 / 02期

关键词：

Modified Bessel functions; Ratios of modified Bessel functions; Bounds; TURAN-TYPE INEQUALITIES; 1ST;

D O I：

10.1016/j.jmaa.2011.07.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give bounds for the functions f(v)(x) = l(v)+1(x)/xl(v)(x) and gv(x)= l'(v)(x)/l(v)(x), using the Mittag-Leffler expansion. Some of the obtained bounds are already known and other are sharper than the known or extend the validity of v. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：737 / 742

页数：6

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