Upper bound of Hankel determinant for a class of analytic functions
Filomat, Tome 35 (2021) no. 11, p. 3713
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The aim of this study is to solve the Fekete-Szegö problem and to define upper bound for Hankel determinant H2(1) in a novel classK 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
Classification :
30C80, 32A10
Keywords: Fekete-Szegö functional, Hankel determinant, Jack’s lemma, Analytic function, Schwarz lemma
Keywords: Fekete-Szegö functional, Hankel determinant, Jack’s lemma, Analytic function, Schwarz lemma
Tuğba Akyela. Upper bound of Hankel determinant for a class of analytic functions. Filomat, Tome 35 (2021) no. 11, p. 3713 . doi: 10.2298/FIL2111713A
@article{10_2298_FIL2111713A,
author = {Tu\u{g}ba Akyela},
title = {Upper bound of {Hankel} determinant for a class of analytic functions},
journal = {Filomat},
pages = {3713 },
year = {2021},
volume = {35},
number = {11},
doi = {10.2298/FIL2111713A},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2111713A/}
}
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