Turkish Journal of Mathematics
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, F. M, HUSSAIN, S, & AHMAD, I (2022). Application of Gegenbauer polynomials for biunivalent functions defined by subordination. Turkish Journal of Mathematics 46 (3): 1089-1098. https://doi.org/10.55730/1300-0098.3144
