On Kapteyn-Kummer Series' Integral Form

被引：0

作者：

Pogany, Tibor K. ^{[1
,2
]}

Baricz, Arpad ^{[1
,3
]}

Szakal, Aniko ^{[4
]}

机构：

[1] Obuda Univ, Inst Appl Math, H-1034 Budapest, Hungary

[2] Univ Rijeka, Fac Maritime Studies, Rijeka 51000, Croatia

[3] Univ Babes Bolyai, Dept Econ, Cluj Napoca 400591, Romania

[4] Obuda Univ, H-1034 Budapest, Hungary

来源：

2016 IEEE 11TH INTERNATIONAL SYMPOSIUM ON APPLIED COMPUTATIONAL INTELLIGENCE AND INFORMATICS (SACI) | 2016年

关键词：

Dirichlet series; Integral representation; Kampe de Feriet function; Kapteyn series; Kummer function; Neumann series; Schlomilch series; BESSEL-FUNCTIONS; REPRESENTATION;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this short research note we obtain double definite integral expressions for the Kapteyn type series built by Kummer's M (or confluent hypergeometric F-1(1)) functions. These kind of series unify in natural way the similar fashion results for Neumann-, Schlomilch- and Kapteyn-Bessel series recently established by Pogany, Suli, Baricz and Jankov Masirevic.

引用

页码：119 / 122

页数：4

共 19 条

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[8]

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[9]

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[10]

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