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Normal holomorphic mappings and classical theorems of function theory

Published online by Cambridge University Press:  22 January 2016

Ken-Ichi Funahashi
Ken-Ichi Funahashi*
Affiliation:
Production Technology Laboratories Engineering Center Sharp Corpolation, 2613-1 Ichinomoto-cho, Tenri-shi, Nara 632, Japan
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In [7], O. Lehto and K. I. Virtanen introduced the concept of normal meromorphic functions in connection with the study of boundary behaviour of meromorphic functions of one complex variable.

In this paper, we generalize the theory of normal meromorphic functions to the case of holomorphic mappings into higher dimensional complex spaces in connection with the theory of hyperbolic manifolds and Nevanlinna theory.

The main concern of this paper is the generalizations of the big Picard theorem and Lindelöf’s theorem which appear in the classical function theory.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 94 , June 1984 , pp. 89 - 104
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1984

References

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