An Application of generalized Fibonacci-like polynomial on New Subfamilies of Regular and Bi-univalent Functions

Open Access

Original research article

Author(s):

Mohammed H. Saloom^a, Bushra Kadhum Awaad^b, Mohamed Al-Sultani^c

^a,b,c Department of Mathematics, College of Education for Pure Sciences, University of Kerbala, Karbala, Iraq.

Advances in the Theory of Nonlinear Analysis and its Applications 7(4), 181–191.

Received: September 22, 2023

Accepted: November 30, 2023

Published: December 23, 2023

Abstract

The present paper introduces the novel subfamilies of regular and bi-univalent functions Σ. The prominent group of Fibonacci polynomial ˜Vn(x, y) is utilized with subordination between regular functions in order to shape these subfamilies. In addition we derive coefficients inequalities for functions belonging to these subfamilies. Various results are exposed as separate cases of the current conclusions.

Keywords: Regular functions; Bi-univalent functions; Generalized bivariate Fibonacci-like polynomials; Horadam polynomial; Chebyshev polynomials; Subordination.

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APA Style

Saloomi, M. H., Awaad, B. K., & Al-Sultani, M. (2023). An application of generalized Fibonacci-like polynomial on new subfamilies of regular and bi-univalent functions. Advances in the Theory of Nonlinear Analysis and Its Application, 7(4), 181–191.