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.

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

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