Hankel determinant for a class of analytic functions

2019/03/19 by Obradovic, Milutin, Tuneski, Nikola
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1903.07872

Abstract

Let f be analutic in the unit disk \mathbb D and normalized so that f(z)=z+a₂z²+a₃z³+⋯. In this paper we give sharp bound of Hankel determinant of the second order for the class of analytic unctions satisfying \[ |arg [((z)/(f(z)))^1+αf'(z) ] |

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