Upper Bound of Second Hankel determinant for generalized Sakaguchi type spiral-like functions

Abstract

In this paper, the authors introduce a generalized Sakaguchi type spiral-like function class S(\lambda, \beta, s, t) and obtain sharp upper bound to the second Hankel determinant |H_{2}(1)| for the function f in the above class. Relevances of the main result are also briefly indicated.

Keywords

• Analytic functions, Starlike functions, Sakaguchi type functions, $\lambda$-spiral-like functions, Second Hankel determinant, Toeplitz determinants