On a new subclass of biunivalent functions associated with the $(p,q)$-Lucas polynomials and bi-Bazilevic type functions of order $\rho+i\xi$

Authors

HALİT ORHAN
İBRAHİM AKTAŞ
HAVA ARIKAN

Abstract

Using $ (p, q) $-Lucas polynomials and bi-Bazilevic type functions of order $\rho +i\xi,$ we defined a new subclass of biunivalent functions. We obtained coefficient inequalities for functions belonging to the new subclass. In addition to these results, the upper bound for the Fekete-Szegö functional was obtained. Finally, for some special values of parameters, several corollaries were presented.

DOI

10.55730/1300-0098.3348

Keywords

Bazilevic functions, Lucas polynomial, analytic functions, univalent functions, biunivalent functions

First Page

98

Last Page

109

Recommended Citation

ORHAN, H, AKTAŞ, İ, & ARIKAN, H (2023). On a new subclass of biunivalent functions associated with the $(p,q)$-Lucas polynomials and bi-Bazilevic type functions of order $\rho+i\xi$. Turkish Journal of Mathematics 47 (1): 98-109. https://doi.org/10.55730/1300-0098.3348