Application of Gegenbauer polynomials for biunivalent functions defined by subordination

Authors

FETHİYE MÜGE SAKAR
SAQIB HUSSAIN
IBRAR AHMAD

DOI

10.55730/1300-0098.3144

Abstract

We present and investigate a new subclass of biunivalent functions by applying Gegenbouer polynomials in this paper. Also, we find nonsharp estimates on the first two coefficients $\left \vert b_{0}\right \vert $ and $% \left \vert b_{1}\right \vert $ for functions belonging to this subclass. Furthermore, the Fekete-Szegö inequality $\left \vert b_{1}-\eta b_{0}^{2}\right \vert $ for this subclass is obtained. We also point out some consequences of results.

Keywords

Gegenbauer polynomials, coefficient estimates, biunivalent functions and subordination

First Page

1089

Last Page

1098

Recommended Citation

SAKAR, FETHİYE MÜGE; HUSSAIN, SAQIB; and AHMAD, IBRAR (2022) "Application of Gegenbauer polynomials for biunivalent functions defined by subordination," Turkish Journal of Mathematics: Vol. 46: No. 3, Article 29. https://doi.org/10.55730/1300-0098.3144
Available at: https://journals.tubitak.gov.tr/math/vol46/iss3/29