Abstract
The present chapter is another application of the fundamental theorems of Nevanlinna. After G. Julia had proved the existence of a Julia direction using the theory of normal family, investigations were made into the behavior of an entire or meromorphic function near a ray by H. Milloux “filling disks” [1], A. Ostrowski [1], and others. This fieled of study is refered to as angular distribution theory. In 1928, starting from Nevanlinna theory, G. Valiron [2] proved the existence of a Borel direction of a meromorphic function, thus promoting the development of angular distribution theory.
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© 1993 Springer-Verlag Berlin Heidelberg
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Lo, Y. (1993). Borel Directions. In: Value Distribution Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02915-2_3
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DOI: https://doi.org/10.1007/978-3-662-02915-2_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-02917-6
Online ISBN: 978-3-662-02915-2
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