Further Results on the (p,k)-Analogue of Hypergeometric Functions Associated with Fractional Calculus Operators

被引：8

作者：

Hidan, Muajebah ^{[1
]}

Boulaaras, Salah Mahmoud ^{[2
,3
]}

Cherif, Bahri-Belkacem ^{[2
,4
]}

Abdalla, Mohamed ^{[1
,5
]}

机构：

[1] King Khalid Univ, Fac Sci, Dept Math, Abha 61471, Saudi Arabia

[2] Qassim Univ, Coll Arts & Sci, Dept Math, ArRas, Buraydah, Saudi Arabia

[3] Univ Oran 1, Lab Fundamental & Appl Math Oran LMFAO, Oran 31000, Algeria

[4] Preparatory Inst Engn Studies Sfax, Sfax, Tunisia

[5] South Valley Univ, Fac Sci, Math Dept, Qena 83523, Egypt

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2021年 / 2021卷

关键词：

Compendex;

D O I：

10.1155/2021/5535962

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In a previous article, first and last researchers introduced an extension of the hypergeometric functions which is called (p,k)-extended hypergeometric functions." Motivated by this work, here, we derive several novel properties for these functions, including integral representations, derivative formula, k-Beta transform, Laplace and inverse Laplace transforms, and operators of fractional calculus. Relevant connections of some of the discussed results here with those presented in earlier references are outlined.

引用

页数：10