Ideal Bases and Primary Decomposition: Case of Two Variables
Journal of Symbolic Computation
Integration of rational functions: Rational computation of the logarithmic part
Journal of Symbolic Computation
Efficient computation of zero-dimensional Gro¨bner bases by change of ordering
Journal of Symbolic Computation
A note on Gro¨bner bases and integration of rational functions
Journal of Symbolic Computation
Symbolic integration I: transcendental functions
Symbolic integration I: transcendental functions
A note on subresultants and the Lazard/Rioboo/Trager formula in rational function integration
Journal of Symbolic Computation
Algebraic factoring and rational function integration
SYMSAC '76 Proceedings of the third ACM symposium on Symbolic and algebraic computation
Aspects of symbolic integration and simplification of exponential and primitive functions.
Aspects of symbolic integration and simplification of exponential and primitive functions.
Integration of algebraic functions: a simple heuristic for finding the logarithmic part
Proceedings of the twenty-first international symposium on Symbolic and algebraic computation
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We show that Czichowski's algorithm for computing the logarithmic part of the integral of a rational function can be carried over to a rather general class of transcendental functions. Also an asymptotic bound on the number of field operations needed is given.