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Integration of rational functions: Rational computation of the logarithmic part

✍ Scribed by D Lazard; R Rioboo

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
158 KB
Volume
9
Category
Article
ISSN
0747-7171

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✦ Synopsis

A new formula is given for the logarithmic part of the integral of a rational function, one that strongly improves previous algorithms and does not need any computation in an algebraic extension of the field of constants, nor any factorisation since only polynomial arithmetic and GCD computations are used. This formula was independently found and implemented in SCRATCHPAD by B. M. Trager.

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