Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-23T02:39:58.898Z Has data issue: false hasContentIssue false
  • English
  • Français

THE FILLING DISKS OF AN ALGEBROID FUNCTION IN THE UNIT DISK

Part of: Entire and meromorphic functions, and related topics

Published online by Cambridge University Press:  25 March 2010

ZU-XING XUAN
ZU-XING XUAN*
Affiliation:
Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, PR China Basic Department, Beijing Union University, No. 97 Bei Si Huan Dong Road, Chaoyang District, Beijing, 100101, PR China (email: [email protected])
Rights & Permissions [Opens in a new window]

Abstract

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.

Using potential theory, we prove the existence of filling disks of an algebroid function of finite order defined in the unit disk.

Keywords

algebroid functionfilling diskscovering surfaceorder

MSC classification

Secondary: 30D35: Distribution of values, Nevanlinna theory
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 81 , Issue 3 , June 2010 , pp. 455 - 464
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

References

[1]Hayman, W. K., Meromorphic Functions (Clarendon Press, Oxford, 1964).Google Scholar
[2]Selberg, H., ‘Algebroide Funktionen und Umkehrfunktionen Abelscher Integrale’, Avh. Nor. Vidensk. Akad. Oslo 8 (1934), 1–72.Google Scholar
[3]Sun, D. C., ‘Filling disks of algebroid functions’, Chin. Ann. Math., Ser. A 16 (1995), 238–243.Google Scholar
[4]Ullrich, E., ‘Über den Einfluss der Verzweigtheit einer Algebroide auf ihre Wertverteilung’, J. reine angew. Math. 169 (1931), 198–220.Google Scholar
[5]Valiron, G., ‘Sur la derivée des fonctions algébroïdes’, Bull. Sci. Math. 59 (1931), 17–39.Google Scholar