APPLICATIONS OF CHEBYSHEV POLYNOMIALS ON λ-PSEUDO BI-STARLIKE AND λ -PSEUDO BI-CONVEX FUNCTIONS WITH RESPECT TO SYMMETRICAL POINTS

APPLICATIONS OF CHEBYSHEV POLYNOMIALS ON λ-PSEUDO BI-STARLIKE AND λ -PSEUDO BI-CONVEX FUNCTIONS WITH RESPECT TO SYMMETRICAL POINTS

A. K. Wanas

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Abstract

The purpose of this work is to use the Chebyshev polynomial expansions to seek upper bounds for the second and third coecients 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.

Keywords

Coecient bounds, bi-univalent functions, Chebyshev polynomials, -pseudo bi-starlike with respect to symmetrical points, -pseudo bi-convex with respect to symmetrical points, subordination.