TY - JOUR AU - Agarwal, R. AU - Sharma, U. P. AU - Agarwal, R. P. PY - 2022 TI - Bicomplex Mittag-Leffler function and associated properties JO - Journal of Nonlinear Sciences and Applications SP - 48--60 VL - 15 IS - 1 AB - 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. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.015.01.04 DO - 10.22436/jnsa.015.01.04 ID - Agarwal2022 ER -