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Necessity and sufficiency for hypergeometric functions to be in a subclass of analytic functions

Article

Last updated: 05 Jan 2025

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Abstract

The purpose of this paper is to introduce necessary and sufficient condition of (Gaussian)
hypergeometric functions to be in a subclass of uniformly starlike and uniformly convex functions.
Operators related to hypergeometric functions are also considered. Some of our results correct
previously known results.

DOI

10.1016/j.joems.2015.01.002

Keywords

KEYWORDS Univalent, starlike, convex, Uniformly starlike, Uniformly convex, Hypergeometric Function

Authors

First Name

A.O.

Last Name

Mostafa

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Affiliation

Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

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Orcid

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First Name

M.K.

Last Name

Aouf

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Email

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City

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Orcid

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First Name

H.M.

Last Name

Zayed

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Menofia University, Shebin Elkom 32511, Egypt

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Orcid

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Volume

23

Article Issue

3

Related Issue

50853

Issue Date

2015-10-01

Receive Date

2024-10-07

Publish Date

2015-10-01

Page Start

476

Page End

481

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_384520.html

Detail API

https://joems.journals.ekb.eg/service?article_code=384520

Order

384,520

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

Necessity and sufficiency for hypergeometric functions to be in a subclass of analytic functions

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Article

Created At

21 Dec 2024