Coefficient bounds and Fekete-Szegő inequality for a certain family of holomorphic and bi-univalent functions defined by (M,N)-Lucas polynomials-Reference-Cited by-同舟云学术

Coefficient bounds and Fekete-Szegő inequality for a certain family of holomorphic and bi-univalent functions defined by (M,N)-Lucas polynomials

Published:2023 Issue:4 Volume:37 Page:1037-1044
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Wanas Abbas¹,Sălăgean Grigore²,Orsolya Ágnes³

Affiliation:

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

2. Department of Mathematics, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Cluj-Napoca, Romania

3. Department of Statistics-Forecasts-Mathematics, Faculty of Economics and Business Administration, Babeş-Bolyai University, Cluj-Napoca, Romania

Abstract

In the current work, we use the (M,N)-Lucas Polynomials to introduce a new family of holomorphic and bi-univalent functions which involve a linear combination between Bazilevic functions and ?-pseudo-starlike function defined in the unit disk D and establish upper bounds for the second and third coefficients of functions belongs to this new family. Also, we discuss Fekete-Szeg? problem in this new family.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference38 articles.

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2. S. Altinkaya and S. Yalc，in, Coefficient estimates for two new subclasses of bi-univalent functions with respect to symmetric points, J. Funct. Spaces Appl., 2015, Art. ID 145242, (2015), 1-5.

3. S. Altinkaya and S. Yalc，in, On the (p,q)-Lucas polynomial coefficient bounds of the bi-univalent function class σ, Bol. Soc. Mat. Mexicana 25(2019), 567-575.

4. A. Amourah, Fekete-Szegő Inequality For Analytic And Bi-univalent Functions Subordinate To (p; q)-Lucas Polynomials, arXiv:2004.00409 [math.CV]

5. K. O. Babalola, On λ-pseudo-starlike functions, J. Classical Anal., 3(2)(2013), 137-147.

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