On the inclusion properties for $\vartheta $-spirallike functions involving both Mittag-Leffler and Wright function

Authors: ŞAHSENE ALTINKAYA

Abstract: By making use of the both Mittag-Leffler and Wright function, we establish a new subfamily of the class $S_{\vartheta }$ of $\vartheta $-spirallike functions. The main object of the paper is to provide sufficient conditions for a function to be in this newly established class and to discuss subordination outcomes.

Keywords: Wright function, Mittag-Leffler function, Spirallike function, Subordination, Convolution

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