Bicomplex Mittag-Leffler function and associated properties

The Journal of Nonlinear Sciences and its Applications

article

R. Agarwal¹  U. P. Sharma¹  R. P. Agarwal² 

[1] Department of Mathematics, Malaviya National Institute of Technology;Department of Mathematics, Texas A\,(\&\)M University, Kingsville 700 University Blvd.

关键词: Bicomplex numbers;    exponential function;    Gamma function;    Mittag-Leffler function;   

DOI  :  10.22436/jnsa.015.01.04

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

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, duplicationformula, and differential relations are established.

【 授权许可】

Unknown