  With the increasing importance of the Mittag-Leffler function in the 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 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.
