A uniqueness polynomial generating a unique range set and vice versa (Q1930680)
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scientific article; zbMATH DE number 6124801
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A uniqueness polynomial generating a unique range set and vice versa |
scientific article; zbMATH DE number 6124801 |
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A uniqueness polynomial generating a unique range set and vice versa (English)
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11 January 2013
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In this paper, the authors establish a kind of equivalence of different notions of unique range sets and uniqueness polynomials. They find a polynomial (of course not necessarily critically injective) which can bring all variants of unique range sets and uniqueness polynomials under a single umbrella. Moreover, the authors give an example which shows that the hypothesis of Theorem 1.3 does not ensure a polynomial to be a SUPM; rather, in addition, the condition stated in (vi) is essential.
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meromorphic function
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uniqueness polynomial
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unique range set
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