Semihyperbolic transcendental semigroups (Q5930004)
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scientific article; zbMATH DE number 1587243
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semihyperbolic transcendental semigroups |
scientific article; zbMATH DE number 1587243 |
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Semihyperbolic transcendental semigroups (English)
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16 September 2002
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This paper is devoted to semihyperbolic semigroups that are generated by entire functions. The authors present a criterion when a given entire semigroup is semihyperbolic. Moreover, they give examples of entire transcendental semigroups that are semihyperbolic. Note that a semihyperbolic semigroup \(H\) admits holomorphic scaling, that is the branches of local inverses of a function \(f\in H\) are of bounded degree and the preimages shrink to zero in diameter.
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semihyperbolic semigroups
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entire functions
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entire transcendental semigroups
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holomorphic scaling
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