k-SRIVASTAVA HYPERGEOMETRIC FUNCTIONS AND THEIR INTEGRAL REPRESENTATIONS

被引：0

作者：

Halici, Sena ^{[1
]}

Cetinkaya, Aysegul ^{[2
]}

机构：

[1] Kirsehir Ahi Evran Univ, Fac Arts & Sci, Dept Math, TR-40100 Kirsehir, Turkiye

[2] Kirsehir Ahi Evran Univ, Fac Arts & Sci, Dept Math, TR-40100 Kirsehir, Turkiye

来源：

MISKOLC MATHEMATICAL NOTES | 2024年 / 25卷 / 02期

关键词：

Srivastava hypergeometric functions; Pochhammer k -symbol; integral representation;

D O I：

10.18514/MMN.2024.4351

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we introduce the k-Srivastava hypergeometric functions by means of the Pochhammer k-symbol. Also, we obtain the relations between k-Srivastava hypergeometric and classical Srivastava hypergeometric functions. Then, we show that with the help of these relations, integral representations of k-Srivastava hypergeometric functions can be easily proved without the need for lengthy proofs.

引用

页码：685 / 697

页数：14

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