Results associated with certain subclasses of analytic functions and mittag-leffler function

In this paper, a new function class has been defined by involving a differential operator and Mittag-Leffler function This function class unifies the studies of well-known subclasses like convex, starlike and alpha-convex functions. Estimates of Taylor–Maclaurin coefficients [Formula: see text] and [Formula: see text] of the functions which belong to the defined function class are obtained. Further, the Fekete–Szegö inequality of this new function class is derived. Also, on taking some particular values of parameters, different corollaries have been obtained. The logarithmic coefficients and coefficient estimate of inverse function are also derived by using the defined class of function.