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381950

Coefficient estimates for a subclass of analytic and bi-univalent functions

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Last updated: 05 Jan 2025

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Abstract

In the present investigation, we consider a new subclass Rðs; c; uÞ of the class R consisting
of analytic and bi-univalent functions in the open unit disk U. For functions belonging to the class
Rðs; c;uÞ introduced here, we obtain estimates on the first two Taylor–Maclaurin coefficients ja2j and
ja3j. Several related classes of analytic and bi-univalent functions in U are also considered and
connections to some of the earlier known results are pointed out.

DOI

10.1016/j.joems.2014.04.002

Keywords

analytic functions, Univalent functions, subordination between analytic functions, Schwarz function, bi-univalent functions, Koebe function

Authors

First Name

H.M.

Last Name

Srivastava

MiddleName

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Affiliation

Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada

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Orcid

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First Name

Deepak

Last Name

Bansal

MiddleName

-

Affiliation

Department of Mathematics, Government College of Engineering and Technology, Bikaner 334004, Rajasthan, India

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Volume

23

Article Issue

2

Related Issue

50528

Issue Date

2015-07-01

Receive Date

2024-09-26

Publish Date

2015-07-01

Page Start

242

Page End

246

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_381950.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381950

Order

381,950

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Coefficient estimates for a subclass of analytic and bi-univalent functions

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Type

Article

Created At

21 Dec 2024