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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

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
2020, v.27 no.4, pp.157-169
https://doi.org/https://doi.org/10.7468/jksmeb.2020.27.4.157
Aydinoglu, Selin
Ornek, Bulent Nafi
Aydinoglu,, S. , & Ornek,, B. N. (2020). APPLICATIONS OF SUBORDINATION PRINCIPLE FOR ANALYTIC FUNCTIONS CONCERNED WITH ROGOSINSKI'S LEMMA. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 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

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

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