On a family of bi-univalent functions related to the Fibonacci numbers

Author:

Akgül Arzu

Abstract

In this study, we construct a new family of holomorphic biunivalent functions in the open unit disc by the help of q-analogue of Noor integral operator, principle of subordination and Fibonacci polynomials. Also we obtain coefficient bounds and Fekete Szegö inequality for functions belonging this family. We have illustrated relevant families and consequences.

Publisher

Centre for Evaluation in Education and Science (CEON/CEES)

Subject

General Medicine

Reference27 articles.

1. O. P. Ahuja, A. Çetinkaya, N. Bohra, On a class of q-bi-univalent functions of complex order related to shell-like curves connected with the Fibonacci numbers, Honam Mathematical Journal, 42 (2) (2020), 319-330.;

2. A. Akgül, (p, q)-Lucas polynomial coefficient inequalities of the bi-univalent function class, Turkish Journal of Mathematics, 43 (5) (2019), 2170-2176.;

3. A. Akgül, F. M. Sakar, A certain subclass of bi-univalent analytic functions introduced by means of the q-analogue of Noor integral operator and Horadam polynomials, Turkish Journal of Mathematics, 43 (5) (2019), 2275-2286.;

4. A. G. Alamoush, Coefficient Estimates for Certain Subclass of Bi Functions Associated the Horadam Polynomials, 2018, arXiv preprint, arXiv:1812.10589, 7 pages.;

5. D. A. Brannan, T. S. Taha, On some classes of bi-univalent functions, Studia Universitatis Babeş-Bolyai Mathematica, 31 (1986), 70-77.;

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