Development of Novel Subclasses for Bi-Univalent Functions

Abstract

This manuscript presents the development of new subclasses for bi-univalent functions and the subclasses are closely related to Chebyshev polynomials having Al-Oboudi differential operator. The functions contained in the subclasses were used to account for the initial coefficient estimates of |a2| and |a3| .

Keywords

• coefficient estimates
• subordination
• chebyshev polynomials
• bi-univalent
• al-oboudi operator