INEQUALITIES ON A CLASS OF ANALYTIC FUNCTIONS DEFINED BY GENERALIZED MITTAG-LEFFLER FUNCTION

Abstract

A new family of difference operator is proposed using a three pa- rameter generalized Mittag-Leffler function. By making use of the generalized difference operator, we have defined a new class of λ-pseudo Pascu type functions of complex order using subordination. Interesting results such as subordination re- sults, inequalities for the initial Taylor-Maclaurin coefficients and unified solution of Fekete-Szeg ̋o problem have been obtained. Also, the study has been extended to quantum calculus by replacing the ordinary derivative with a q-derivative in the defined function class. Several applications, known or new of the main results are also presented.