On meromorphic equivalence of linear difference operators (Q910983)
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scientific article; zbMATH DE number 4142691
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On meromorphic equivalence of linear difference operators |
scientific article; zbMATH DE number 4142691 |
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On meromorphic equivalence of linear difference operators (English)
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1990
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We consider linear difference equations whose coefficients are meromorphic at \(\infty\). We characterize the meromorphic equivalence classes of such equations by means of a system of meromorphic invariants. Using an approach inspired by the work of G. D. Birkhoff we show that this system is free.
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linear difference operator
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formal equivalence
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inverse problem
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Riemann- Hilbert problem
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linear difference equations
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meromorphic equivalence
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meromorphic invariants
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