Bicomplex Mittag-Leffler function and associated properties

Journal of Nonlinear Sciences and Applications Pub Date : 2021-03-18 DOI:10.22436/jnsa.015.01.04

R. Agarwal, Urvashi Sharma, R. Agarwal

引用次数: 6

Abstract

With the increasing importance of the Mittag-Leffler function in physical applications, these days many researchers are studying various generalizations and extensions of the Mittag-Leffler function. In this paper, efforts are made to define the bicomplex extension of the Mittag-Leffler function, and also its analyticity and region of convergence are discussed. Various properties of the bicomplex Mittag-Leffler function including integral representation, recurrence relations, duplication formula, and differential relations are established.

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双复合体Mittag-Leffler函数及其相关性质

随着Mittag-Leffler函数在物理应用中的重要性日益增加，近年来许多研究者正在研究Mittag-Leffler函数的各种推广和扩展。本文给出了Mittag-Leffler函数的双复扩展的定义，并讨论了它的解析性和收敛区域。建立了双复Mittag-Leffler函数的各种性质，包括积分表示、递归关系、重复公式和微分关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Nonlinear Sciences and Applications MATHEMATICS, APPLIED-MATHEMATICS

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期刊介绍： The Journal of Nonlinear Science and Applications (JNSA) (print: ISSN 2008-1898 online: ISSN 2008-1901) is an international journal which provides very fast publication of original research papers in the fields of nonlinear analysis. Journal of Nonlinear Science and Applications is a journal that aims to unite and stimulate mathematical research community. It publishes original research papers and survey articles on all areas of nonlinear analysis and theoretical applied nonlinear analysis. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Manuscripts are invited from academicians, research students, and scientists for publication consideration. Papers are accepted for editorial consideration through online submission with the understanding that they have not been published, submitted or accepted for publication elsewhere.