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Borel Directions

In: Value Distribution Theory

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  • Yang Lo

    (Academia Sinica, Institute of Mathematics)

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.

Suggested Citation

  • Yang Lo, 1993. "Borel Directions," Springer Books, in: Value Distribution Theory, chapter 0, pages 58-92, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-02915-2_3
    DOI: 10.1007/978-3-662-02915-2_3
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