New biunivalent functions subclasses described by convolution

Abstract

In this paper, two subclasses have been established; the open unit disc U = {z ε ₵ |Z|< 1} functions. is defined by convolution and represents a function class of biunivalent Additionally, for functions in these subclasses, initial estimates of the coefficients |a₂| and |a₃| are derived; however, for biunivalent functions in these classes, the first two coefficients |a₂| and |a₃| constraints have been founded.

Subject Classification:

• 30C45

Keywords:

• Analytic function
• Biunivalent functions
• Hadamard product
• Coefficient estimates