Fekete-Szegö functional for a class of non-Bazilevic functions related to quasi-subordination-Reference-Cited by-同舟云学术

Fekete-Szegö functional for a class of non-Bazilevic functions related to quasi-subordination

Published:2023-01-01 Issue:1 Volume:56 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Shah Syed Ghoos Ali¹,Al-Sa’di Sa’ud²,Hussain Saqib¹,Tasleem Asifa¹,Rasheed Akhter¹,Cheema Imran Zulfiqar³,Darus Maslina⁴

Affiliation:

1. Department of Mathematics, COMSATS University Islamabad , Abbottabad Campus 22060 , Pakistan

2. Department of Mathematics, Faculty of Science, The Hashemite University , P.O Box 330127, Zarqa 13133 , Jordan

3. Department of Mathematics, COMSATS University Islamabad , Lahore Campus , Pakistan

4. Department of Mathematical Sciences, Universiti Kebangsaan Malaysia , Bangi 43600, Selangor , Malaysia

Abstract

Abstract In this article, we study the Fekete-Szegö functional associated with a new class of analytic functions related to the class of bounded turning by using the principle of quasi-subordination. We derived the coefficient estimates including the classical Fekete-Szegö inequality for functions belonging to this class. We also improved some existing results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2022-0232/pdf

Reference40 articles.

1. M. S. Robertson, Quasi subordination and coefficient conjectures, Bull. Amer. Math. Soc. 76 (1970), 1–9.

2. T. H. MacGregor, Majorization by univalent functions, Duke Math. J. 34 (1967), 95–102.

3. S. Owa, T. Sekine, and R. Yamakawa, On Sakaguchi-type functions, Appl. Math. Comput. 187 (2007), 356–361.

4. M. Obradovic, A class of univalent functions, Hokkaido Math. J. 2 (1988), 329–335.

5. P. Sharma and R. K. Raina, On a Sakaguchi-type class of univalent functions associated with quasi-subordination, Comment. Math. Univ. St. Paul 64 (2015), 59–70.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Fekete-Szegö type functionals associated with certain subclasses of bi-univalent functions;Heliyon;2024-04

2. A Class of Non-Bazilevic Functions Subordinate to Gegenbauer Polynomials;International Journal of Analysis and Applications;2024-02-05

3. Coefficient problem for generalised fractional operator;AIP Conference Proceedings;2024