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384556

On some first-order differential subordination

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Last updated: 05 Jan 2025

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Abstract

Let A denote the class of functions f that are analytic in the unit disc D and normalized
by f(0) = f 0(0)  1=0. In this paper, we investigate the class of functions such that
Reff 0ðzÞ þ zf 00ðzÞ  bg > a in D. We determine conditions for a and b under which the function
f is univalent, close-to-convex, and convex. To obtain this, we first estimate OEArg{f 0(z)}OE which
improves the earlier results.

Keywords

Close-to-convex functions, convex functions, starlike functions, subordination

Authors

First Name

M.

Last Name

Nunokawa

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-

Affiliation

University of Gunma, Hoshikuki-cho 798-8, Chuou-Ward, Chiba 260-0808, Japan

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Orcid

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First Name

E.

Last Name

Duman

MiddleName

Yavuz

Affiliation

Department of Mathematics and Computer Science, I_stanbul Ku¨ltu¨r University, I_stanbul, Turkey

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-

Orcid

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First Name

J.

Last Name

Sokoł

MiddleName

-

Affiliation

Department of Mathematics, Rzeszo´w University of Technology, Al. Powstan´co´w Warszawy 12, 35-959 Rzeszo´w, Poland

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Orcid

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First Name

N.E.

Last Name

Cho

MiddleName

-

Affiliation

Department of Applied Mathematics, College of Natural Sciences, Pukyong National University, Pusan 608-737, Republic of Korea

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-

City

-

Orcid

-

First Name

S.

Last Name

Owae

MiddleName

-

Affiliation

e Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan

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Volume

22

Article Issue

2

Related Issue

50700

Issue Date

2014-10-01

Receive Date

2013-07-02

Publish Date

2013-09-15

Page Start

197

Page End

200

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 22_Issue 2_Pages 197-200.pdf

PDF . 434.9kB

Link

https://joems.journals.ekb.eg/article_384556.html

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https://joems.journals.ekb.eg/service?article_code=384556

Order

384,556

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

On some first-order differential subordination

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Article

Created At

21 Dec 2024