Argument Estimates of Certain Analytic Functions Associated with a Family of Multiplier Transformations

M.K. Aouf, A. Shamandy, R. M. El-Ashwah, E. E. Ali

Abstract

The purpose of the present paper is to derive some inclusion properties and argument estimates of certain normalized analytic functions in the open unit disk, which are defined by means of a class of multiplier transformations. Furthermore, the integral preserving properties in a sector are investigated for these multiplier transformations.

Keywords

Analytic functions, Multiplier transformation, Differential subordination, Close-to-convex functions, Argument estimates.

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