An application of modified sigmoid function to a class of $q-$ starlike and $q-$ convex analytic error functions

Authors: ARZU AKGÜL

Abstract: In this study, in the open unit disc $\Lambda$, by applying the $q-$ derivative operator and the fractional $q-$ derivative operator and by using the principle of subordination between analytic functions, we introduce some new interesting subclasses of $q-$ starlike and $q-$ convex analytic functions associated with error functions and modified sigmoid functions.

Keywords: Univalent function, analytic function, $q-$ starlike error function, $q-$ convex error function, modified sigmoid function, subordination, convolution

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