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Normal Families

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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.

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© 1993 Springer-Verlag Berlin Heidelberg

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Lo, Y. (1993). Normal Families. In: Value Distribution Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02915-2_2

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  • DOI: https://doi.org/10.1007/978-3-662-02915-2_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-02917-6

  • Online ISBN: 978-3-662-02915-2

  • eBook Packages: Springer Book Archive

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