Growth majorants and quotient representations of meromorphic functions. (Q1851483)
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scientific article; zbMATH DE number 1851125
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Growth majorants and quotient representations of meromorphic functions. |
scientific article; zbMATH DE number 1851125 |
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Growth majorants and quotient representations of meromorphic functions. (English)
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2 April 2003
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From the author's abstract: The classes \(\Gamma\) of meromorphic functions in \(\mathbb C\) of finite \(lambda\)-type were introduced and studied by L. A. Rubel and B. A. Taylor. The representation problem for meromorphic functions from \(\Gamma\) as quotients of entire functions from \(\Gamma\) without common zeros, the so-called canonical quotient representations, is considered, in this paper. It is shown that this problem reduces to the study of growth majorant properties of entire functions with restrictions on their zero quantities.
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meromorphic functions
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growth estimates
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Nevanlinna theory
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