On properties and applications of (p, q)-extended τ-hypergeometric functions

被引：8

作者：

Parmar, Rakesh K. ^{[1
]}

Pogany, Tibor K. ^{[2
,3
]}

Saxena, Ram K. ^{[4
]}

机构：

[1] Govt Coll Engn & Technol, Dept Math, Bikaner 334004, Rajasthan, India

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

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

[4] Jai Narain Vyas Univ, Dept Math & Stat, Jodhpur 342004, Rajasthan, India

来源：

COMPTES RENDUS MATHEMATIQUE | 2018年 / 356卷 / 03期

关键词：

MATHIEU-TYPE SERIES; INTEGRAL-REPRESENTATION; TERMS CONTAIN; A-SERIES;

D O I：

10.1016/j.crma.2017.12.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the (p, q)-extended tau-hypergeometric and confluent hypergeometric functions along with their integral representations. We also present closed integral expressions for the Mathieu-type alpha-series and for the associated alternating versions whose terms contain the (p, q)-extended tau-hypergeometric functions with related contiguous functional relations. (C) 2018 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：278 / 282

页数：5

共 20 条

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