Normal Families

Yang Lo
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Yang Lo: Academia Sinica, Institute of Mathematics

Chapter Chapter 2 in Value Distribution Theory, 1993, pp 42-57 from Springer

Abstract: Abstract In this chapter, we shall see that the study of the value assignment of a function in a neighborhood of an isolated essential singularity can be reduced to that of the properties of a family of functions in a fixed region. For this purpose, an introduction to the concept of normal family and some criteria for normality would be appropriate. Nevanlinna theory plays an important role in this discussion.

Keywords: Holomorphic Function; Meromorphic Function; Normal Family; Arbitrary Sequence; Essential Singularity (search for similar items in EconPapers)
Date: 1993
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DOI: 10.1007/978-3-662-02915-2_2

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