Fekete-Szeg¨o Inequality for Certain Subclasses of Analytic Functions Related with Crescent-shaped Domain and Application of Poison Distribution Series

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Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

The purpose of this paper is to define a new class of analytic, normalized functions in the open unit disk D = {z : z ∈ C and |z| < 1} subordinating with crescent shaped regions, and to derive certain coefficient estimates a2 , a3 and Fekete-Szeg¨o inequality for f ∈ Mq(α, β, λ). A similar result have been done for the function f −1 . Further application of our results to certain functions defined by convolution products with a normalized analytic function is given, in particular we obtain FeketeSzeg¨o inequalities for certai

Language:
English
Published:
Journal of Mathematical Extension, Volume:15 Issue: 4, Autumn 2021
Page:
8
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