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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: xuanzuxing@ss.buaa.edu.cn)
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Abstract

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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