Solving difference equations in finite terms (Q1286445)
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scientific article; zbMATH DE number 1283735
| Language | Label | Description | Also known as |
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| English | Solving difference equations in finite terms |
scientific article; zbMATH DE number 1283735 |
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Solving difference equations in finite terms (English)
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7 December 1999
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The authors prove that the Galois group of a linear difference equation with rational function coefficients is solvable iff the solution space of the equation has a basis each of whose members is a so-called Liouvillian sequence. An algorithm for finding all Liouvillian solutions of a linear difference equation is given.
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solvable group
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Galois group
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linear difference equation
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algorithm
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Liouvillian solutions
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