Certain fractional integral operators and the generalized multi-index Mittag-Leffler functions

被引：17

作者：

Agarwal, Praveen ^{[1
]}

Rogosin, Sergei V. ^{[2
]}

Trujillo, Juan J. ^{[3
]}

机构：

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

[2] Belarusian State Univ, Dept Econ, Minsk 220030, BELARUS

[3] Univ La Laguna, Dept Anal Matemat, San Cristobal la Laguna 38271, Tenerife, Spain

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2015年 / 125卷 / 03期

关键词：

Marichev-Saigo-Maeda fractional integral operators; generalized multi-index Mittag-Leffler functions; Appell functions; generalized Wright function;

D O I：

10.1007/s12044-015-0243-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain formulas of fractional integration (of Marichev- Saigo-Maeda type) of the generalized multi-index Mittag-Leffler functions E (gamma,kappa) [(alpha (j) ,beta (j) ) (m) ; z] generalizing 2m-parametric Mittag-Leffler functions studied by Saxena and Nishimoto (J. Fract. Calc. 37 (2010] 43-52). Some interesting special cases of our main results are considered too.

引用

页码：291 / 306

页数：16

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