Abstract

The aim of this article is to establish correlations between different categories of analytic univalent functions using a specific convolution operator defined by the Wright function. More specifically, we explore these correlations among the classes of analytic univalent functions $k-\mathscr{UCV}^{\ast}(\beta),$ $k-\mathscr{S}_{p}^{\ast}(\beta),$ $\mathscr{R}(\beta),$ $\mathscr{R}^{\tau}\left(A,\; B\right),$ $k-\mathscr{PUCV}^{\ast}(\beta)$ and $k-\mathscr{PS}_{p}^{\ast}(\beta)$ in the open unit disc $\mathbb{U}.$

Keywords and Phrases

Analytic, univalent functions, uniformly convex and starlike functions, Wright function.

A.M.S. subject classification

30C45.

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