Symmetric Toeplitz Matrices for a New Family of Prestarlike Functions

Abstract

By making use of prestarlike functions, we introduce in this paper a certain family of normalized holomorphic functions defined in the open unit disk, and we establish coefficient estimates for the first four determinants of the symmetric Toeplitz matrices T2(2), T2(3), T3(2) and T3(1) for the functions belonging to this family. We also mention some known and new results that follow as special cases of our results.

Keywords

• prestarlike functions
• univalent functions
• Toeplitz matrices
• coefficient estimates