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Coefficient Bounds for a Certain Family of Biunivalent Functions Defined by Gegenbauer Polynomials

In the present work, by making use of Gegenbauer polynomials, we introduce and study a certain family of 
 
 λ
 
 -pseudo bistarlike and 
 
 λ
 
 -pseudo biconvex functions with respect to symmetrical points defined in the open unit disk. We obtain estimates for initial coefficients and solve the Fekete–Szeg
 
 
 o
 ¨
 
 
 problem for functions that belong to this family. Furthermore, we give connections to some of the earlier known results.