Open AccessUpper bound of Hankel determinant for a class of analytic functions
Author(s) -
Tuğba Akyel
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2111713a
Subject(s) - mathematics , class (philosophy) , analytic function , mathematical analysis , upper and lower bounds , unit disk , unit (ring theory) , boundary (topology) , limit (mathematics) , point (geometry) , pure mathematics , geometry , mathematics education , artificial intelligence , computer science
The aim of this study is to solve the Fekete-Szeg? problem and to define upper bound for Hankel determinant H2(1) in a novel class K of analytical functions in the unit disc. Moreover, in a class of analytic functions on the unit disc, assuming the existence of an angular limit on the boundary point, the estimations from below of the modulus of angular derivative have been obtained.