Abstract
We describe the first complete implementation of Davenport's algorithm [Davenport86] for the solution of the Risch differential equation. Our code forms part of a new integration package written in REDUCE which operates over algebraic number fields.
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References
J H Davenport, “The Parallel Risch Algorithm (I),” Proc. EUROCAM 82, LNCS 144(1982), also
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© 1989 Springer-Verlag Berlin Heidelberg
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Abbott, J. (1989). Integration: Solving the Risch differential equation. In: Davenport, J.H. (eds) Eurocal '87. EUROCAL 1987. Lecture Notes in Computer Science, vol 378. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51517-8_155
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DOI: https://doi.org/10.1007/3-540-51517-8_155
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Online ISBN: 978-3-540-48207-9
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