On the logarithmic coefficients for some classes defined by subordination

Author:

Adegani Ebrahim Analouei1,Alimohammadi Davood2,Bulboacă Teodor3,Cho Nak Eun4,Bidkham Mahmood5

Affiliation:

1. Faculty of Mathematical Sciences, Shahrood University of Technology, P.O.Box 316-36155, Shahrood, Iran

2. Department of Mathematics, Faculty of science, Arak University, Arak 38156-8-8349, Iran

3. Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania

4. Department of Applied Mathematics, College of Natural Sciences, Pukyong National University, Busan 608-737, Republic of Korea

5. Department of Mathematics, Semnan University, Semnan, Iran

Abstract

<abstract><p>The logarithmic coefficients of univalent functions play an important role in different estimates in the theory of univalent functions. In this paper, due to the significant importance of the study of these coefficients, we find the upper bounds for some expressions associated with the logarithmic coefficients of functions that belong to some classes defined by using the subordination. Moreover, we get the best upper bounds for the logarithmic coefficients of some subclasses of analytic functions defined and studied in many earlier papers.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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