Toeplitz Matrices for a Class of Bazilevič Functions and the λ-Pseudo-Starlike Functions

Abstract

In the present paper, we define and study a new family of holomorphic functions which involve the Bazilevič functions and the λ-pseudo-starlike functions. We establish coefficient estimates for the first four determinants of the symmetric Toeplitz matrices T2(2), T2(3), T3(1) and T3(2) for the functions in this family. Further, we investigate several special cases and consequences of our results.