Some Results on the Multi-Parameters Mittag-Leffler Function  

多参数Mittag-Leffler函数的一些成果

作　　者：PAN Yu-mei LI Yu-fen CAI Dong-xin YAN Xing-jie 潘玉梅;李玉芬;蔡董欣;严兴杰

机构地区：[1]School of Mathematics,China University of Mining and Technology,Xuzhou 221116,China [2]Digital Communication Department,State Grid Zhangye Power Supply Company,Zhangye 734000,China

出　　处：《Chinese Quarterly Journal of Mathematics》2025年第1期82-92,共11页数学季刊(英文版)

基　　金：Supported by The National Undergraduate Innovation Training Program(Grant No.202310290069Z).

摘　　要：In this article,the multi-parameters Mittag-Leffler function is studied in detail.As a consequence,a series of novel results such as the integral representation,series representation and Mellin transform to the above function,are obtained.Especially,we associate the multi-parameters Mittag-Leffler function with two special functions which are the generalized Wright hypergeometric and the Fox’s-H functions.Meanwhile,some interesting integral operators and derivative operators of this function,are also discussed.

关 键 词：Multi-parameters Mittag-Leffler function Special functions Riemann-Liouville integral 

分 类 号：O187.1[理学—数学]