Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-23T23:23:17.020Z Has data issue: false hasContentIssue false
  • English
  • Français

The Behaviour of Meromorphic Functions with a Set of Singularities of the Class N0B

Published online by Cambridge University Press:  22 January 2016

Akira Sagawa
Akira Sagawa*
Affiliation:
Department of Mathematics, Miyagi University of Education, Sendai, Japan
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.

Let E be a totally disconnected compact set in the complex z-plane and let G be the complementary domain of E with respect to the extended z-plane. Consider a domain in G whose relative boundary consists of at most a countable number of analytic curves clustering nowhere in G. Such a domain is called a subregion in G.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 39 , August 1970 , pp. 133 - 139
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1970

References

[1] Ahlfors, L. and Beurling, A., Conformal invariants and function-theoretic null-sets, Acta Math., 83 (1950), 101–129.Google Scholar
[2] Hällström, G. af, über meromorphe Funktionen mit mehrfach zusammenhägnenden Existenzgebieten, Acta Acad. Abo Math, et Phys., 12 (1939), 5–100.Google Scholar
[3] Kametani, S., The exceptional values of functions with the set of capacity zero of essential singularities, Proc. Japan Acad., 17 (1941), 429–433.Google Scholar
[4] Kuroda, T., On analytic functions on some Riemann surfaces, Nagoya Math Journ., 10 (1959) 27–50.Google Scholar
[5] Noshiro, K., Some remarks on cluster sets, J. d’Analyse Math. 19 (1967), 283–294.CrossRefGoogle Scholar
[6] Sagawa, A., Some function-theoretic null-sets, to appear in Tôhoku Math. Journ.Google Scholar