Third Hankel determinant for reciprocal of bounded turning function has a positive real part of order alpha

Bolineni Venkateswarlu; Nekkanti Rani

doi:10.24193/subbmath.2017.3.06

Third Hankel determinant for reciprocal of bounded turning function has a positive real part of order alpha

Authors

Bolineni Venkateswarlu
Nekkanti Rani

DOI:

https://doi.org/10.24193/subbmath.2017.3.06

Keywords:

univalent function, upper bound, function whose reciprocal derivative has a positive real part, Hankel determinant, positive real function, Toeplitz determinants

Abstract

The objective of this paper is to obtain an upper bound to
the third Hankel determinant denoted by |H3(1)| for certain subclass of univalent
functions, using Toeplitz determinants