An upper bound to the second Hankel determinant for pre-starlike functions of order α

Abstract

The objective of this paper is to obtain an upper bound to the second Hankel determinant for the function f and its inverse belonging to the class of pre-starlike functions of order alpha (0 ≤ alpha ≤ 1), using Toeplitz determinants.

Keywords

• Analytic function
• pre-starlike function
• starlike function
• convex function
• upper bound
• second Hankel functional
• positive real function
• subordination
• convolution
• Toeplitz determinants