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Solving Difference Equations in Finite Terms

✍ Scribed by P.A. Hendricks; M.F. Singer

Book ID
102976561
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
628 KB
Volume
27
Category
Article
ISSN
0747-7171

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✦ Synopsis

We define the notion of a Liouvillian sequence and show that the solution space of a difference equation with rational function coefficients has a basis of Liouvillian sequences iff the Galois group of the equation is solvable. Using this we give a procedure to determine the Liouvillian solutions of such a difference equation.

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