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http://dx.doi.org/10.11568/kjm.2019.27.4.1027

SHARPENED FORMS OF ANALYTIC FUNCTIONS CONCERNED WITH HANKEL DETERMINANT  

Ornek, Bulent Nafi (Department of Computer Engineering Amasya University)
Publication Information
Korean Journal of Mathematics / v.27, no.4, 2019 , pp. 1027-1041 More about this Journal
Abstract
In this paper, we present a Schwarz lemma at the boundary for analytic functions at the unit disc, which generalizes classical Schwarz lemma for bounded analytic functions. For new inequalities, the results of Jack's lemma and Hankel determinant were used. We will get a sharp upper bound for Hankel determinant H2(1). Also, in a class of analytic functions on the unit disc, assuming the existence of angular limit on the boundary point, the estimations below of the modulus of angular derivative have been obtained.
Keywords
Hankel determinant; Jack's lemma; Analytic function; Schwarz lemma; Fekete-$Szeg{\ddot{o}}$ functional;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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