Some results on the generalized Mittag-Leffler function operator

Journal of inequalities and applications

JC Prajapati¹ 

关键词: generalized Mittag-Leffler function;    Laplace transform;    Mellin transform;    H-function;    generalized Wright function;   

DOI  :  10.1186/1029-242X-2013-33

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is devoted to the study of a generalized Mittag-Leffler function operator introduced by Shukla and Prajapati (J. Math. Anal. Appl. 336:797-811, 2007). Laplace and Mellin transforms of this operator are investigated in this paper. Some special cases of the established results are also deduced as corollaries. The results obtained are useful where the Mittag-Leffler function occurs naturally. MSC:33E12, 26A33, 44A45.

【 授权许可】

CC BY