Coefficient bounds for certain two subclasses of bi-univalent functions

In this paper, coefficient bounds of bi-univalent functions in certain two subclasses, which are defined by subordination are estimated. Some special outcomes of the main results are also presented. Moreover, it is remarked that the given bounds improve and generalize some of the pervious results.

Bibliographic Details
Main Authors: Ebrahim Analouei Adegani, Nak Eun Cho, Davood Alimohammadi, Ahmad Motamednezhad
Format: Article
Language:English
Published: AIMS Press 2021-06-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021530?viewType=HTML
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spelling doaj-ccdabc4c628246ab902bb9e054b5e1702021-07-08T01:05:50ZengAIMS PressAIMS Mathematics2473-69882021-06-01699126913710.3934/math.2021530Coefficient bounds for certain two subclasses of bi-univalent functionsEbrahim Analouei Adegani0Nak Eun Cho1Davood Alimohammadi2Ahmad Motamednezhad31. Faculty of Mathematical Sciences, Shahrood University of Technology, P.O.Box 316-36155, Shahrood, Iran2. Department of Applied Mathematics, College of Natural Sciences, Pukyong National University, Busan 608-737, Republic of Korea3. Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran1. Faculty of Mathematical Sciences, Shahrood University of Technology, P.O.Box 316-36155, Shahrood, IranIn this paper, coefficient bounds of bi-univalent functions in certain two subclasses, which are defined by subordination are estimated. Some special outcomes of the main results are also presented. Moreover, it is remarked that the given bounds improve and generalize some of the pervious results.https://www.aimspress.com/article/doi/10.3934/math.2021530?viewType=HTMLunivalent functionsbi-univalent functionscoefficient boundsfaber polynomial expansionsubordination
collection DOAJ
language English
format Article
sources DOAJ
author Ebrahim Analouei Adegani
Nak Eun Cho
Davood Alimohammadi
Ahmad Motamednezhad
spellingShingle Ebrahim Analouei Adegani
Nak Eun Cho
Davood Alimohammadi
Ahmad Motamednezhad
Coefficient bounds for certain two subclasses of bi-univalent functions
AIMS Mathematics
univalent functions
bi-univalent functions
coefficient bounds
faber polynomial expansion
subordination
author_facet Ebrahim Analouei Adegani
Nak Eun Cho
Davood Alimohammadi
Ahmad Motamednezhad
author_sort Ebrahim Analouei Adegani
title Coefficient bounds for certain two subclasses of bi-univalent functions
title_short Coefficient bounds for certain two subclasses of bi-univalent functions
title_full Coefficient bounds for certain two subclasses of bi-univalent functions
title_fullStr Coefficient bounds for certain two subclasses of bi-univalent functions
title_full_unstemmed Coefficient bounds for certain two subclasses of bi-univalent functions
title_sort coefficient bounds for certain two subclasses of bi-univalent functions
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2021-06-01
description In this paper, coefficient bounds of bi-univalent functions in certain two subclasses, which are defined by subordination are estimated. Some special outcomes of the main results are also presented. Moreover, it is remarked that the given bounds improve and generalize some of the pervious results.
topic univalent functions
bi-univalent functions
coefficient bounds
faber polynomial expansion
subordination
url https://www.aimspress.com/article/doi/10.3934/math.2021530?viewType=HTML
work_keys_str_mv AT ebrahimanaloueiadegani coefficientboundsforcertaintwosubclassesofbiunivalentfunctions
AT nakeuncho coefficientboundsforcertaintwosubclassesofbiunivalentfunctions
AT davoodalimohammadi coefficientboundsforcertaintwosubclassesofbiunivalentfunctions
AT ahmadmotamednezhad coefficientboundsforcertaintwosubclassesofbiunivalentfunctions
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