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On an extension of a theorem of Sato

Published online by Cambridge University Press:  17 April 2009

Lian-Zhong Yang
Lian-Zhong Yang
Affiliation:
Department of MathematicsShandong UniversityJinan, China
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Abstract

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Let f(z) be a n-valued algebroid function of order λ(0 ≤ λ ≤ 1), Sato obtained an elliptic theorem for f(z) with a condition. In this paper, we prove that Sato's theorem is true without conditions and give a generalisation.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 40 , Issue 3 , December 1989 , pp. 441 - 446
Copyright
Copyright © Australian Mathematical Society 1989

References

[1]Edrei, A. and Fuchs, W.H., ‘The deficiencies of meromorphic functions of order less than one’, Duke Math. J. 27 (1960), 233–249.CrossRefGoogle Scholar
[2]Sato, T., ‘Remarks on the deficiencies of algebroid functions of finite order’, Proc. Japan Acad. Ser. A Math. Sci. 57 (1981), 101–105.CrossRefGoogle Scholar
[3]Valiron, G., ‘Sur la derivee des fonctions algebroides’, Bull. Soc. Math. 59 (1931), 17–39.Google Scholar