Application of Gegenbauer polynomials for biunivalent functions defined by subordination

Authors

FETHİYE MÜGE SAKAR
SAQIB HUSSAIN
IBRAR AHMAD

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.

DOI

10.55730/1300-0098.3144

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