Some properties of meromorphic solutions of \(q\)-difference equations (Q1034059)
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scientific article; zbMATH DE number 5629202
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some properties of meromorphic solutions of \(q\)-difference equations |
scientific article; zbMATH DE number 5629202 |
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Some properties of meromorphic solutions of \(q\)-difference equations (English)
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10 November 2009
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Contrary to differential equations, \(q\)-difference equations usually admit a wealth of uniform meromorphic solutions. Moreover, it has been shown that Nevanlinna theory applied to such meromorphic solutions may provide good heuristic information about the integrability of nonlinear \(q\)-difference equations. The present paper investigates a particular class of equations and obtains lower bounds of the Nevanlinna lower order for their meromorphic solutions.
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Nevanlinna theory
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complex \(q\)-difference equation
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growth
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meromorphic solutions
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integrability
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