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
收藏
页码：291 / 306
页数：16
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