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

ISSN : 1226-0657

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Vol.6 No.2

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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
1999, v.6 no.2, pp.87-93
Song, Tai-Sung
Song,, T. (1999). . Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 6(2), 87-93.

Abstract

A holomorphic function f on D = {z : │z│ ＜ 1} is called uniformly locally univalent if there exists a positive constant <TEX>$\rho$</TEX> such that f is univalent in every hyperbolic disk of hyperbolic radius <TEX>$\rho$</TEX>. We establish a characterization of uniformly locally univalent functions and investigate uniform local univalence of holomorphic universal covering projections.

keywords
uniform local univalence, universal covering projection

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

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