Hostname: page-component-848d4c4894-p2v8j Total loading time: 0.001 Render date: 2024-05-18T11:27:48.624Z Has data issue: false hasContentIssue false
  • English
  • Français

On Picard Values of Algebroid Functions in a Neighbourhood of A Totally Disconnected Compact Set

Published online by Cambridge University Press:  22 January 2016

Junji Suzuki
Junji Suzuki*
Affiliation:
Mathematical Institute, Nagoya University
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

1. Let E be a totally disconnected compact set in the 2-plane and Ω its complement with respect to the extended z-plane. Then Ω is a region. Let be an exhaustion of Ω satisfying the following conditions:

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 40 , December 1970 , pp. 1 - 12
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1970

References

[1] Ahlfors, L.V. and Beurling, A.: Conformal invariants and function-theoretic null sets, Acta Math., 83(1950), pp. 101–129.Google Scholar
[2] Dufresnoy, J.: Theorie nouvelle de families complexes normales, Ann. Ec. Norm. Sup., 16(1944), pp. 1–44.Google Scholar
[3] Matsumoto, K.: On exceptional values of meromorphic functions with the set of singularities of capacity zero, Nagoya Math. Journ., 18(1961), pp. 141–171.Google Scholar
[4] Matsumoto, K.: Some notes on exceptional values of meromorphic functions, Nagoya Math. Journ., 22(1963), pp. 189–201.Google Scholar
[5] Mori, A.: A note on unramified abelian covering surfaces of a closed Riemann surfaces, Journ. Math. Soc. Japan, 6(1954), pp. 162–176.Google Scholar
[6] Noshiro, K.: Open Riemann surfaces with null boundary, Nagoya Math. Journ., 3(1951), pp. 73–79.CrossRefGoogle Scholar
[7] Pfluger, A.: Sur l’existence de fonctions non constantes analytiques uniformes et bornées sur une surface de Riemann ouverte, C.R. Paris, 230(1950), pp. 166–168.Google Scholar
[8] Rémoundos, G.: Extension aux fonctions algébroïdes multiformes du theoreme de M. Picard et de ses generalisations, Mem. Sc. Math., fase. 23(1927).Google Scholar
[9] Sario, L. and Noshiro, K.: Value distribution theory, Van Nostrand, Princeton, 1966.CrossRefGoogle Scholar