On the greatest common divisor of polynomials which depend on a parameter
ISSAC '93 Proceedings of the 1993 international symposium on Symbolic and algebraic computation
Landen transformations and the integration of rational functions
Mathematics of Computation
Factoring multivariate polynomials via partial differential equations
Mathematics of Computation
Change of order for bivariate triangular sets
Proceedings of the 2006 international symposium on Symbolic and algebraic computation
Lifting and recombination techniques for absolute factorization
Journal of Complexity
The challenges of multivalued "Functions"
AISC'10/MKM'10/Calculemus'10 Proceedings of the 10th ASIC and 9th MKM international conference, and 17th Calculemus conference on Intelligent computer mathematics
Using Gröbner bases for finding the logarithmic part of the integral of transcendental functions
Journal of Symbolic Computation
Indefinite integration as term rewriting: Integrals containing tangent
Programming and Computing Software
Integration of unspecified functions and families of iterated integrals
Proceedings of the 38th international symposium on International symposium on symbolic and algebraic computation
Factoring bivariate polynomials using adjoints
Journal of Symbolic Computation
| Hi-index | 0.00 |
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.