Coefficient bound of a generalized class of close-to-convex functions using Herglotz representation theorem

Complex analysis is the poetry of mathematics which studies a subfield of mathematics that investigates complex numbers, including their functions, derivatives, limits, manipulation, and other mathematical properties. Geometric Function Theory (GFT) is a branch of complex analysis that studies the geometric properties of one-to-one analytic functions. It was started by the German mathematician Ludwig Bieberbach in 1916. According to Duren [1], an analytic function f (z) maps one region to another in the complex plane one-to-one.