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ISSN : 1226-0657

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Vol.18 No.3

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THE SCHWARZ LEMMA AND BOUNDARY FIXED POINTS

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
2011, v.18 no.3, pp.275-284
https://doi.org/10.7468/jksmeb.2011.18.3.275
Jeong, Moon-Ja
Jeong,, M. (2011). THE SCHWARZ LEMMA AND BOUNDARY FIXED POINTS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 18(3), 275-284, https://doi.org/10.7468/jksmeb.2011.18.3.275

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.

keywords
Schwarz lemma, boundary fixed point, unit disc, holomorphic map

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

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