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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.28 No.3

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Applications of the Jack's Lemma for Analytic Functions concerned with Rogosinski's Lemma

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2021, v.28 no.3, pp.235-246
https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.3.235
Ornek, Bulent Nafi
Ornek,, B. N. (2021). Applications of the Jack's Lemma for Analytic Functions concerned with Rogosinski's Lemma. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 28(3), 235-246, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.3.235

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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