Borel Directions

Yang Lo
Additional contact information
Yang Lo: Academia Sinica, Institute of Mathematics

Chapter Chapter 3 in Value Distribution Theory, 1993, pp 58-92 from Springer

Abstract: 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.

Keywords: Complex Number; Meromorphic Function; Fundamental Theorem; Transcendental Entire Function; Spherical Image (search for similar items in EconPapers)
Date: 1993
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-02915-2_3

Ordering information: This item can be ordered from
http://www.springer.com/9783662029152

DOI: 10.1007/978-3-662-02915-2_3

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().