Research ArticleNo Access

Geometric properties for a family of holomorphic functions associated with Wanas operator defined on complex Hilbert space

Abbas Karem Wanas

https://orcid.org/0000-0001-5838-7365

Department of Mathematics, College of Science, University of Al-Qadisiyah, Al Diwaniyah, Al-Qadisiyah, Iraq

E-mail Address: abbas.kareem.w@qu.edu.iq

Corresponding author.

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Junesang Choi

Department of Mathematics, Dongguk University, Gyeongju 38066, Republic of Korea

E-mail Address: junesang@dongguk.ac.kr

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, and

Nak Eun Cho

Department of Applied Mathematics, Pukyong National University, Pusan 48513, Republic of Korea

E-mail Address: necho@pknu.ac.kr

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https://doi.org/10.1142/S1793557121501229Cited by:4 (Source: Crossref)

Abstract

By making use of Wanas operator, we aim to introduce and investigate a certain family of univalent holomorphic functions with negative coefficients defined on complex Hilbert space. We present some important geometric properties of this family such as coefficient estimates, convexity, distortion and growth, radii of starlikeness and convexity. We also discuss the extreme points for functions belonging to this family.

Communicated by A. Escassut

Keywords:

AMSC: 26A33, 30C45, 33C20, 33C45

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