Some Classes of Bazilevič-Type Close-to-Convex Functions Involving a New Derivative Operator-Reference-Cited by-同舟云学术

Some Classes of Bazilevič-Type Close-to-Convex Functions Involving a New Derivative Operator

Published:2024-07-03 Issue:7 Volume:16 Page:836
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Sabir Pishtiwan Othman¹^ORCID,Lupas Alina Alb²^ORCID,Khalil Sipal Saeed³,Mohammed Pshtiwan Othman⁴⁵^ORCID,Abdelwahed Mohamed⁶^ORCID

Affiliation:

1. Department of Mathematics, College of Science, University of Sulaimani, Sulaymaniyah 46001, Iraq

2. Department of Mathematics and Computer Science, University of Oradea, 410087 Oradea, Romania

3. Department of Mathematics, College of Education, University of Zakho, Zakho 42002, Iraq

4. Department of Mathematics, College of Education, University of Sulaimani, Sulaymaniyah 46001, Iraq

5. Research and Development Center, University of Sulaimani, Sulaymaniyah 46001, Iraq

6. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Abstract

In the present paper, we are merging two interesting and well-known classes, namely those of Bazilevič and close-to-convex functions associated with a new derivative operator. We derive coefficient estimates for this broad category of analytic, univalent and bi-univalent functions and draw attention to the Fekete–Szegö inequalities relevant to functions defined within the open unit disk. Additionally, we identify several specific special cases of our results by specializing the parameters.

Funder

University of Oradea, Romania

Publisher

MDPI AG

Link

https://www.mdpi.com/2073-8994/16/7/836/pdf

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