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© 2024 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.

Abstract

Making use of generalized bivariate Fibonacci polynomials, we propose two families of regular functions of the type ϕ(ζ)=ζ+j=2djζj, which are bi-univalent in the disc {ζC:|ζ|<1} involving the (p, q)-derivative operator. We find estimates on the coefficients |d2|, |d3| and the of Fekete–Szegö functional for members of these families. Relevant connections to the existing results and new consequences of the main result are presented.

Details

Title
Two Families of Bi-Univalent Functions Associating the (p, q)-Derivative with Generalized Bivariate Fibonacci Polynomials
Author
Sondekola Rudra Swamy 1   VIAFID ORCID Logo  ; Basem Aref Frasin 2 ; Breaz, Daniel 3 ; Cotîrlă, Luminita-Ioana 4   VIAFID ORCID Logo 

 Department of Infomation Science and Engineering, Acharya Institute of Technology, Bengaluru 560 107, Karnataka, India; sondekola.swamy@gmail.com 
 Department of Mathematics, Faculty of Science, Al al-Bayt University, Mafraq, Jordan; bafrasin@aabu.edu.jo 
 Department of Computing, Mathematics and Electronics, “1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, Romania 
 Department of Mathematics, Tehnical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania 
First page
3933
Publication year
2024
Publication date
2024
Publisher
MDPI AG
e-ISSN
22277390
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
3149693796
Copyright
© 2024 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.