Fekete-Szegö Inequality for Analytic and Biunivalent Functions Subordinate to Gegenbauer Polynomials

Author:

Amourah Ala1ORCID,Frasin Basem Aref2ORCID,Abdeljawad Thabet345ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science and Technology, Irbid National University, Irbid, Jordan

2. Faculty of Science, Department of Mathematics, Al al-Bayt University, Mafraq, Jordan

3. Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia

4. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

5. Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan

Abstract

In the present paper, a subclass of analytic and biunivalent functions by means of Gegenbauer polynomials is introduced. Certain coefficients bound for functions belonging to this subclass are obtained. Furthermore, the Fekete-Szegö problem for this subclass is solved. A number of known or new results are shown to follow upon specializing the parameters involved in our main results.

Publisher

Hindawi Limited

Subject

Analysis

Reference32 articles.

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