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Title: Initial Maclaurin coefficient estimates for $\lambda $-pseudo-starlike bi-univalent functions associated with Sakaguchi-type functions (English)
Author: Wanas, Abbas Kareem
Author: Frasin, Basem Aref
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 147
Issue: 2
Year: 2022
Pages: 201-210
Summary lang: English
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Category: math
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Summary: We introduce and study two certain classes of holomorphic and bi-univalent functions associating $\lambda $-pseudo-starlike functions with Sakaguchi-type functions. We determine upper bounds for the Taylor--Maclaurin coefficients $\vert a_{2}\vert $ and $\vert a_{3}\vert $ for functions belonging to these classes. Further we point out certain special cases for our results. (English)
Keyword: holomorphic function
Keyword: bi-univalent function
Keyword: coefficient estimates
Keyword: $\lambda $-pseudo-starlike function
Keyword: Sakaguchi-type function
MSC: 30C45
MSC: 30C50
idZBL: Zbl 07547250
idMR: MR4407352
DOI: 10.21136/MB.2021.0050-20
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Date available: 2022-04-14T13:41:53Z
Last updated: 2022-09-06
Stable URL: http://hdl.handle.net/10338.dmlcz/150328
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