Summations of Schlomilch series containing modified Bessel function of the second kind terms

被引：2

作者：

Masirevic, Dragana Jankov ^{[1
]}

机构：

[1] Univ Osijek, Dept Math, Osijek 31000, Croatia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2015年 / 26卷 / 04期

关键词：

Primary: 33C10; 65B10; 11B68; Secondary: 40C10; modified Bessel function of the second kind; summation formulas; Schlomilch series;

D O I：

10.1080/10652469.2014.995646

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main aim of this article is to establish certain closed expressions for the Schlomilch series which members contain modified Bessel functions of the second kind and to obtain connection between special case of such series and a generalized Mathieu series. Closed expressions for the Schlomilch series with members containing products of and modified Bessel function of the first kind are derived as a by-product of these results.

引用

页码：273 / 281

页数：9

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