A certain class of analytic functions and the growth rate of Hankel determinant

摘要

The growth rate of coefficients and Hankel determinant for any class of analytic functions is well known. In this present investigation, we define a class of analytic functions related to strongly close-to-convex functions. We investigate different interesting properties for this class including arc length, the growth rate of coefficients and the growth rate of Hankel determinant by using the method of Noonan and Thomas. Several well-known results appear as special cases from our results. MSC:30C45, 30C50.