多参数ML函数的新颖成果

doi:10.13371/j.cnki.chin.q.j.m.2025.01.008

数学季刊 ›› 2025, Vol. 40 ›› Issue (1): 82-92.doi: 10.13371/j.cnki.chin.q.j.m.2025.01.008

多参数ML函数的新颖成果

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

收稿日期:2024-06-20 出版日期:2025-03-30 发布日期:2025-03-30
通讯作者: 蔡董欣 E-mail:1852977216@qq.com
作者简介:PAN Yu-mei (1997-), female, native of Weifang, Shandong, postgraduate of China University of Mining and Technology; LI Yu-fen (1985-), female, native of Ledu, Qinghai, senior engineer of State Grid Zhangye Power Supply Company, engages in power communication; CAI Dong-xin (2002-), male, native of Huainan, Anhui, undergraduate of China University of Mining and Technology; YAN Xing-jie (1981-), male, native of Lanzhou, Gansu, associate professor of China University of Mining and Technology, engages in analysis.
基金资助:
Supported by The National Undergraduate Innovation Training Program (Grant No. 202310290069Z).

Novel Results on the Multi-Parameters Mittag-Leffler Function

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

Received:2024-06-20 Online:2025-03-30 Published:2025-03-30
Contact: CAI Dong-xin E-mail:1852977216@qq.com
About author:PAN Yu-mei (1997-), female, native of Weifang, Shandong, postgraduate of China University of Mining and Technology; LI Yu-fen (1985-), female, native of Ledu, Qinghai, senior engineer of State Grid Zhangye Power Supply Company, engages in power communication; CAI Dong-xin (2002-), male, native of Huainan, Anhui, undergraduate of China University of Mining and Technology; YAN Xing-jie (1981-), male, native of Lanzhou, Gansu, associate professor of China University of Mining and Technology, engages in analysis.
Supported by:
Supported by The National Undergraduate Innovation Training Program (Grant No. 202310290069Z).

摘要/Abstract

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

Abstract: 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

Key words: Multi-parameters Mittag-Leffler function, Special functions, Riemann-Liouville integral

中图分类号:

O187.1

潘玉梅, 李玉芬, 蔡董欣, 严兴杰. 多参数ML函数的新颖成果[J]. 数学季刊, 2025, 40(1): 82-92.

PAN Yu-mei, LI Yu-fen, CAI Dong-xin, YAN Xing-jie. Novel Results on the Multi-Parameters Mittag-Leffler Function[J]. Chinese Quarterly Journal of Mathematics, 2025, 40(1): 82-92.

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多参数ML函数的新颖成果

Novel Results on the Multi-Parameters Mittag-Leffler Function

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