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

DOI

10.55730/1300-0098.3348

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.

Keywords

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

First Page

98

Last Page

109

Recommended Citation

ORHAN, HALİT; AKTAŞ, İBRAHİM; and ARIKAN, HAVA (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: Vol. 47: No. 1, Article 7. https://doi.org/10.55730/1300-0098.3348
Available at: https://journals.tubitak.gov.tr/math/vol47/iss1/7