Integral transforms of an extended generalized multi-index Bessel function

被引：11

作者：

Mubeen, Shahid ^{[1
]}

Ali, Rana Safdar ^{[1
]}

Nayab, Iqra ^{[2
]}

Rahman, Gauhar ^{[3
]}

Abdeljawad, Thabet ^{[4
,5
]}

Nisar, Kottakkaran Sooppy ^{[6
]}

机构：

[1] Univ Sargodha, Dept Math, Sargodha, Pakistan

[2] Univ Lahore, Dept Math, Sargodha, Pakistan

[3] Shaheed Benazir Bhutto Univ, Dept Math, Sheringal 18000, Upper Dir, Pakistan

[4] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia

[5] China Med Univ, Dept Med Res, Taichung 40402, Taiwan

[6] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawser 11991, Saudi Arabia

来源：

AIMS MATHEMATICS | 2020年 / 5卷 / 06期

关键词：

extended multi-index Bessel function; fractional integrals and derivatives; Appell function; extended beta transform;

D O I：

10.3934/math.2020482

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the extended generalized multi-index Bessel function by using the extended beta type function. Then we investigate its several properties including integral representation, derivatives, beta transform, Laplace transform, Mellin transforms, and some relations of extension of extended generalized multi-index Bessel function (E(1)GMBF) with the Laguerre polynomial and Whittaker functions. Further, we also discuss the composition of the generalized fractional integral operator having Appell function as a kernel with the extension of extended generalized multi-index Bessel function and establish these results in terms of Wright functions.

引用

页码：7531 / 7547

页数：17

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