%0 Journal Article %T Bicomplex Mittag-Leffler function and associated properties %A Agarwal, R. %A Sharma, U. P. %A Agarwal, R. P. %J Journal of Nonlinear Sciences and Applications %D 2022 %V 15 %N 1 %@ ISSN 2008-1901 %F Agarwal2022 %X 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. %9 journal article %R 10.22436/jnsa.015.01.04 %U http://dx.doi.org/10.22436/jnsa.015.01.04 %P 48--60