Faber polynomial coefficients for meromorphic bi-subordinate functions of complex order

Faber polynomial coefficients for meromorphic bi-subordinate functions of complex order

In this paper, we obtain the upper bounds for the <em>n-th</em> (<em>n</em> ≥ 1) coefficients for meromorphic bi-subordinate functions of complex order by using Faber polynomial expansions. The results, which are presented in this paper, would generalize those in related work...

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Main Authors: Erhan Deniz, Hatice Tuǧba Yolcu
Format: Article
Language:English
Published: AIMS Press 2020-01-01
Series:AIMS Mathematics
Subjects:
analytic functions
starlike functions
meromorphic functions
bi-univalent functions
subordination
faber polynomial
Online Access:https://www.aimspress.com/article/10.3934/math.2020043/fulltext.html
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spelling doaj-f263acd375094c2aae35b0de7e6ccc962020-11-24T21:40:54ZengAIMS PressAIMS Mathematics2473-69882020-01-015164064910.3934/math.2020043Faber polynomial coefficients for meromorphic bi-subordinate functions of complex orderErhan Deniz0Hatice Tuǧba Yolcu1Department of Mathematics, Faculty of Science and Letters, Kafkas University, 36100, Kars, TurkeyDepartment of Mathematics, Faculty of Science and Letters, Kafkas University, 36100, Kars, TurkeyIn this paper, we obtain the upper bounds for the <em>n-th</em> (<em>n</em> ≥ 1) coefficients for meromorphic bi-subordinate functions of complex order by using Faber polynomial expansions. The results, which are presented in this paper, would generalize those in related works of several earlier authors.https://www.aimspress.com/article/10.3934/math.2020043/fulltext.htmlanalytic functionsstarlike functionsmeromorphic functionsbi-univalent functionssubordinationfaber polynomial
collection DOAJ
language English
format Article
sources DOAJ
author Erhan Deniz
Hatice Tuǧba Yolcu
spellingShingle Erhan Deniz
Hatice Tuǧba Yolcu
Faber polynomial coefficients for meromorphic bi-subordinate functions of complex order
AIMS Mathematics
analytic functions
starlike functions
meromorphic functions
bi-univalent functions
subordination
faber polynomial
author_facet Erhan Deniz
Hatice Tuǧba Yolcu
author_sort Erhan Deniz
title Faber polynomial coefficients for meromorphic bi-subordinate functions of complex order
title_short Faber polynomial coefficients for meromorphic bi-subordinate functions of complex order
title_full Faber polynomial coefficients for meromorphic bi-subordinate functions of complex order
title_fullStr Faber polynomial coefficients for meromorphic bi-subordinate functions of complex order
title_full_unstemmed Faber polynomial coefficients for meromorphic bi-subordinate functions of complex order
title_sort faber polynomial coefficients for meromorphic bi-subordinate functions of complex order
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2020-01-01
description In this paper, we obtain the upper bounds for the <em>n-th</em> (<em>n</em> ≥ 1) coefficients for meromorphic bi-subordinate functions of complex order by using Faber polynomial expansions. The results, which are presented in this paper, would generalize those in related works of several earlier authors.
topic analytic functions
starlike functions
meromorphic functions
bi-univalent functions
subordination
faber polynomial
url https://www.aimspress.com/article/10.3934/math.2020043/fulltext.html
work_keys_str_mv AT erhandeniz faberpolynomialcoefficientsformeromorphicbisubordinatefunctionsofcomplexorder
AT haticetugbayolcu faberpolynomialcoefficientsformeromorphicbisubordinatefunctionsofcomplexorder
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