Fekete-Sezegö problem for certain subclass of analytic and univalent functions associated with cosine and sine functions of complex order

Year 2023, Volume: 9 Issue: 2, 10 - 15, 31.12.2023

Nizami Mustafa , Hacı Ahmet Demir

Abstract

The main focus of this paper is to give some coefficient estimates for the analytic and univalent functions on the open unit disk in the complex plane that are subordinated to cosine and sine functions of complex order. For the defined here subclass of analytic and univalent functions , with the quantity

subordinated to , we obtain the coefficient estimates for the initial two coefficients and examine the Fekete-Szegö problem.

Keywords

Starlike function, convex function, cosine function, sine function, coefficient estimate, Fekete-Szegö problem, complex order

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