Determinant for bi-univalent of pseudo starlikeness for certain class of analytic univalent functions

Abstract

This paper introduces and investigates the polynomials whose
coefficients are bi-univalent of generalized distribution. We employed
method of convolution via generalized polylogarithm and Sigmoid function to
obtain first few coefficients of the defined subclasses. Furthermore, second
and third Hankel determinant for the class defined were established.
Consequences of various choices of parameter were discussed which further
establish geometric properties of the generalized distribution associated
with bi-univalent functions.