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THE SCHWARZ LEMMA AND BOUNDARY FIXED POINTS

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한국수학교육학회|2011.08|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제18권 제3호|pp. 275-284

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참고문헌

키워드

Schwarz lemmaboundary fixed pointunit discholomorphic map.
주제분류수학

초록

In this note we study the Schwarz lemma and its various versions. We find a condition for a holomorphic map to have fixed points only on the boundary of the unit disc and compare its derivatives at fixed points to get some relations among them

Abstract

In this note we study the Schwarz lemma and its various versions. We find a condition for a holomorphic map to have fixed points only on the boundary of the unit disc and compare its derivatives at fixed points to get some relations among them

참고문헌 (17)

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  10. Z. Nehari, "Conformal Mapping" (1952), Dover publications, Inc
  11. R. Osserman, "From Schwarz to Pick to Ahlfors and Beyond", Notices Amer. Math. Soc, 46, pp.868~873 (1999)
  12. R. Osserman, "A Sharp Schwarz inequality on the boundary", Proc. Amer. Math. Soc, 통권 : 128, pp.3513~3517 (2000)
  13. S. Ruscheweyh, "Neighborhoods of univalent functions", Proc. Amer. Math. Soc, 통권 : 81, pp.521~527 (1981)
  14. G. Schmieder, "On Schwarz's Lemma in multiply connected domains", Comput. Methods Funct. Theory, 5, pp.159~184 (2005)
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관련 논문AI추천

THE SCHWARZ LEMMA AND ITS APPLICATION AT A BOUNDARY POINT정문자한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제3호Sharpened forms of the Schwarz lemma on the boundaryBulent Nafi Ornek대한수학회 · 대한수학회보2013 · 제50권 제6호A SHARP SCHWARZ LEMMA AT THE BOUNDARYBülent Nafi ÖRNEK, Tuğba AKYEL한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제3호Estimates for analytic functions associated with Schwarz lemma on the boundaryAysan Kaynakkan, Bulent Nafi Ornek강원경기수학회 · 한국수학논문집2022 · 제30권 제2호AN IMPROVED LOWER BOUND FOR SCHWARZ LEMMA AT THE BOUNDARYBülent Nafi ÖRNEK, Tuğba AKYEL한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제1호GENERALIZED SCHWARZ LEMMAS FOR MEROMORPHIC FUNCTIONSLing Chen, Xiaojun Huang대한수학회 · 대한수학회보2012 · 제49권 제2호

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