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

ISSN : 1226-0657

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Vol.5 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
1998, v.5 no.2, pp.101-108
Jeong, Moon-Ja
Jeong,, M. (1998). . Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 5(2), 101-108.

Abstract

For a smoothly bounded n-connected domain <TEX>$\Omega$</TEX> in C, we get a formula representing the relation between the Szego" kernel associated with <TEX>$\Omega$</TEX> and holomorphic mappings obtained from harmonic measure functions. By using it, we show that the coefficient of the above holomorphic map is zero in doubly connected domains.

keywords
Szego kernel, harmonic measure, proper map, self-correspondence

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

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