CERTAIN FRACTIONAL INTEGRALS AND IMAGE FORMULAS OF GENERALIZED k-BESSEL FUNCTION

被引：17

作者：

Agarwal, Praveen ^{[1
]}

Chand, Mehar ^{[2
]}

Choi, Junesang ^{[3
]}

Singh, Gurmej ^{[4
,5
]}

机构：

[1] Anand Int Coll Engn, Dept Math, Jaipur 303012, Rajasthan, India

[2] Guru Kashi Univ, Dept Appl Sci, Bathinda 1513002, India

[3] Dongguk Univ, Dept Math, Gyeongju 38066, South Korea

[4] Mata Sahib Kaur Girls Coll, Dept Math, Bathinda 151103, India

[5] Singhania Univ, Dept Math, Pacheri Bari, Jhunjhunu, India

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2018年 / 33卷 / 02期

关键词：

k-Pochhammer symbol; k-gamma function; Fox-Wright function; generalized k-Bessel function; Laplace transform; beta transform; Whittaker transform; Saigo hypergeometric fractional integral operators;

D O I：

10.4134/CKMS.c170056

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We aim to establish certain Saigo hypergeometric fractional integral formulas for a finite product of the generalized k-Bessel functions, which are also used to present image formulas of several integral transforms including beta transform, Laplace transform, and Whittaker transform. The results presented here are potentially useful, and, being very general, can yield a large number of special cases, only two of which are explicitly demonstrated.

引用

页码：423 / 436

页数：14

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