Coefficient Bounds and Fekete-Szego inequality for a Certain Family of Holomorphic and Bi-Univalent Functions Defined by (M,N)-Lucas Polynomials

Wanas Abbas Kareem, Salagean Grigore Stefan, Pall-Szabo Agnes


In the current work, we use the (M,N)-Lucas Polynomials to introduce a new family of holomorphic and bi-univalent functions which involve a linear combination between Bazilevic functions and β-pseudo-starlike function defined in the unit disk D and establish upper bounds for the second and third coefficients of functions belongs to this new family. Also, we discuss Fekete-Szego problem in this new family.


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