A Study of The Neighborhood of A New Class of  Analytic Functions Containing The q-Symmetric Multiplier Transform Operator

Hazha Zirar Hussain

doi:10.31642/JoKMC/2018/120206

Authors

Hazha Zirar Hussain Salahaddin University

DOI:

https://doi.org/10.31642/JoKMC/2018/120206

Keywords:

Analytic Functions, Multiplier Transform Operator, Neighborhood, q- Derivative, Convex Function, Starlike Function.

Abstract

In this paper I have defined new subclasses of analytic functions characterized by negativity of their coefficients by the q-symmetric multiplier transform operator. In fact, they are subclasses of the class of starlike and convex functions of complex order, and through them I studied the neighborhood of these subclasses and the inclusion relations between them. So I put forward the conditions through which these subclasses belong to the neighborhood or vice versa, the neighborhood belongs to them, and I explained the special cases of them.

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