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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

A SURVEY OF BLOCH CONSTANTS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
1995, v.2 no.1, pp.17-24
An, Jong-Su (Dept. of Mathematics Education, College of Education, Pusan National Univ.)

Abstract

We begin with a brief survey of some of the known results dealing with Bloch constants. Bloch's theorem asserts that there is a constant B$\_$1.C/(1, 0) such that if f is holomorphic in the open unit disk D and normalized by │f'(0)│$\geq$1, then the Riemann surface of f contains an unramified disk of radius at least B$\_$1.C/(1, 0) (see[7,p.14]).(omitted)

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한국수학교육학회지시리즈B:순수및응용수학