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  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
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ISSN : 1226-0657

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Vol.27 No.4
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APPLICATIONS OF SUBORDINATION PRINCIPLE FOR ANALYTIC FUNCTIONS CONCERNED WITH ROGOSINSKI'S LEMMA

APPLICATIONS OF SUBORDINATION PRINCIPLE FOR ANALYTIC FUNCTIONS CONCERNED WITH ROGOSINSKI'S LEMMA

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2020, v.27 no.4, pp.157-169
https://doi.org/https://doi.org/10.7468/jksmeb.2020.27.4.157
Aydinoglu, Selin (Department of Computer Engineering, Amasya University)
Ornek, Bulent Nafi (Department of Computer Engineering, Maltepe University)
Aydinoglu, Selin, & Ornek, Bulent Nafi. (2020). APPLICATIONS OF SUBORDINATION PRINCIPLE FOR ANALYTIC FUNCTIONS CONCERNED WITH ROGOSINSKI'S LEMMA. 한국수학교육학회지시리즈B:순수및응용수학, 27(4), 157-169, https://doi.org/https://doi.org/10.7468/jksmeb.2020.27.4.157
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Abstract

In this paper, we improve a new boundary Schwarz lemma, for analytic functions in the unit disk. For new inequalities, the results of Rogosinski's lemma, Subordinate principle and Jack's lemma were used. Moreover, 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
Schwarz lemma on the boundary, Rogosinski's lemma, analytic function, subordinate principle

한국수학교육학회지시리즈B:순수및응용수학

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