Property of comparability of derivatives of meromorphic functions and distances between a-points (Q1189991)
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scientific article; zbMATH DE number 56483
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Property of comparability of derivatives of meromorphic functions and distances between a-points |
scientific article; zbMATH DE number 56483 |
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Property of comparability of derivatives of meromorphic functions and distances between a-points (English)
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26 September 1992
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The author considers meromorphic functions and mainly values which have no Nevanlinna deficiency for \(f\). Among other interesting results he proves that the distance of the locations of those points where the values are taken are comparable in a certain (explicitly defined in this paper) sense and that the same is true for the module of the derivative of \(f\) at these points. To give detailed results here would take too much space. The proofs are based on Ahlfors' theory of covering surfaces.
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meromorphic functions
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Nevanlinna deficiency
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module of the derivative
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Ahlfors theory
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covering surfaces
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