Argument and Coefficient Estimates for Certain Analytic Functions

Davood Alimohammadi,Ebrahim Analouei Adegani,Nak Eun Cho,Ahmad Motamednezhad

doi:10.3390/math8010088

Davood Alimohammadi, Ebrahim Analouei Adegani + Show 2 more

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https://doi.org/10.3390/math8010088

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Abstract

The aim of the present paper is to introduce a new class G α , δ of analytic functions in the open unit disk and to study some properties associated with strong starlikeness and close-to-convexity for the class G α , δ . We also consider sharp bounds of logarithmic coefficients and Fekete-Szegö functionals belonging to the class G α , δ . Moreover, we provide some topics related to the results reported here that are relevant to outcomes presented in earlier research.

Highlights

Introduction and PreliminariesLet U denote the open unit dick in the complex plane C
A function ω : U → C is called a Schwarz function if ω is a analytic function in U with ω (0) = 0 and |ω (z)| < 1 for all z ∈ U
We denote by Ω the set of all Schwarz functions on U

Summary

Introduction

Introduction and PreliminariesLet U denote the open unit dick in the complex plane C. We denote by Ω the set of all Schwarz functions on U. Let A be consisting of all analytic functions of the following normalized form: Be the class of functions f ∈ A which are univalent in U.

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