Upper Bound Estimates of Toeplitz Determinant of Fourth Order for Certain Class of Close-to-Convex Harmonic Mappings

Abstract

In this present work, we obtain an upper bound of fourth order Topelitz determinant for a function in the class of Harmonic close to convex functions. The upper bounds on |T_4,1(f)| found for f ∈ M(α,1,1) and |T_2,2(f)|, |a²₃- a₂ a₄|, |a²₄- a₃ a₅| and |T_4,2(f)|  where f ∈ M(α,1/3,2) were obtained.