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http://dx.doi.org/10.7468/jksmeb.2021.28.3.235

APPLICATIONS OF THE JACK'S LEMMA FOR ANALYTIC FUNCTIONS CONCERNED WITH ROGOSINSKI'S LEMMA  

Ornek, Bulent Nafi (Department of Computer Engineering, Maltepe University)
Publication Information
The Pure and Applied Mathematics / v.28, no.3, 2021 , pp. 235-246 More about this Journal
Abstract
In this study, a Schwarz lemma at the boundary for analytic functions at the unit disc, which generalizes classical Schwarz lemma for bounded analytic functions, is considered.The results of Rogosinskis lemma and Jacks lemma have been utilized to derive novel inequalities. Also, these inequalities have been strengthened by considering the critical points which are different from zero.
Keywords
Jack's lemma; Rogosinski's lemma; Julia-Wolff lemma; analytic function; Schwarz lemma;
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Times Cited By KSCI : 1  (Citation Analysis)
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