Applications of chebyshev polynomials on ?-pseudo bi-starlike and ?-pseudo bi-convex functions with respect to symmetrical points

Abstract

The purpose of this work is to use the Chebyshev polynomial expansions to seek upper bounds for the second and third coefficients of functions belongs to a subclass of ?-pseudo bi-starlike and ?-pseudo bi-convex functions with respect to symmetrical points in the open unit disk.