Coefficient bounds and distortion theorems for the certain analytic functions

Authors: OSMAN ALTINTAŞ, NİZAMİ MUSTAFA

Abstract: In this paper, we introduce and investigate an analytic function class $% P_{q}(\lambda,A,B)$ that we call the class of $q-$starlike and $q-$convex functions with respect to the parameter $\lambda $. We give coefficient bounds estimates, distortion bound and growth theorems for the functions belonging to this class.

Keywords: Starlike function, convex function, $q-$starlike function, $q-$% convex function, $q-$derivative

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