A Generalized Mittag-Leffler Type Function with Four Parameters

被引：0

作者：

Garg, Mridula ^{[1
]}

Sharma, Ajay ^{[2
]}

Manohar, Pratibha ^{[3
]}

机构：

[1] Univ Rajasthan, Dept Math, Jaipur 302004, Rajasthan, India

[2] Univ Engn & Management, Dept Math, Jaipur 303807, Rajasthan, India

[3] SKN Agr Univ, Dept Stat Math & Comp Sci, Jaipur 303329, Rajasthan, India

来源：

THAI JOURNAL OF MATHEMATICS | 2016年 / 14卷 / 03期

关键词：

Laplace transform; Mellin transform; Mittag-Leffler functions and generalizations; Riemann-Liouville fractional integral and derivative;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we introduce and study a generalization of Mittag-Leffler type functions. We obtain several results which include integral representations, recurrence relations, differential formula, fractional derivative and integral, Mellin Barnes integral representation and images of this function under the Laplace and Mellin transforms. We also introduce and investigate fractional calculus integral operator involving this generalized Mittag-Leffler type function.

引用

页码：637 / 649

页数：13

共 50 条

[1] A generalized multiparameter function of Mittag-Leffler type
Kalla, S. L.
Haidey, V.
Virchenko, N.
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2012, 23 (12) : 901 - 911
[2] Dirichlet Averages of Generalized Mittag-Leffler Type Function
Kumar, Dinesh
Ram, Jeta
Choi, Junesang
[J]. FRACTAL AND FRACTIONAL, 2022, 6 (06)
[3] TURAN TYPE INEQUALITIES FOR GENERALIZED MITTAG-LEFFLER FUNCTION
Yin, Li
Huang, Li-Guo
[J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2017, 11 (03): : 667 - 672
[4] Turan type inequalities for generalized Mittag-Leffler function
Dou, Xiang Kai
Yin, Li
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
[5] Some fractional integral formulas for the Mittag-Leffler type function with four parameters
Agarwal, Praveen
Nieto, Juan J.
[J]. OPEN MATHEMATICS, 2015, 13 : 537 - 546
[6] A FRACTIONAL INTEGRAL OPERATOR INVOLVING THE MITTAG-LEFFLER TYPE FUNCTION WITH FOUR PARAMETERS
Agarwal, Praveen
Milovanovic, Gradimir V.
Nisar, K. S.
[J]. FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2015, 30 (05): : 597 - 605
[7] On Generalized Matrix Mittag-Leffler Function
Batiha, Iqbal M.
Jebril, Iqbal H.
Alshorm, Shameseddin
Anakira, Nidal
Alkhazaleh, Shawkat
[J]. IAENG International Journal of Applied Mathematics, 2024, 54 (03) : 576 - 580
[8] Note on generalized Mittag-Leffler function
Desai, Rachana
Salehbhai, I. A.
Shukla, A. K.
[J]. SPRINGERPLUS, 2016, 5
[9] On the generalized Mittag-Leffler type functions
Gorenflo, R
Kilbas, AA
Rogosin, SV
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 1998, 7 (3-4) : 215 - 224
[10] EULER TYPE INTEGRAL INVOLVING GENERALIZED MITTAG-LEFFLER FUNCTION
Ahmed, Shakeel
Khan, Mumtaz Ahmad
[J]. COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 29 (03): : 479 - 487

← 1 2 3 4 5 →