Computing Logarithmic Parts by Evaluation Homomorphisms✱
Abstract
References
Recommendations
Hermite Reduction for D-finite Functions via Integral Bases
ISSAC '23: Proceedings of the 2023 International Symposium on Symbolic and Algebraic ComputationTrager’s Hermite reduction solves the integration problem for algebraic functions via integral bases. A generalization of this algorithm to D-finite functions has so far been limited to the Fuchsian case. In the present paper, we remove this restriction ...
Using Gröbner bases for finding the logarithmic part of the integral of transcendental functions
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 ...
The evaluation of trigonometric integrals avoiding spurious discontinuities
The tan(x/2) substitution, also called the Weierstrass substitution, is one method currently used by computer-algebra systems for the evaluation of trigonometric integrals. The method needs to be improved, because the expressions obtained using it ...
Comments
Information & Contributors
Information
Published In
![cover image ACM Other conferences](/cms/asset/cffa1264-12ec-46fd-b43b-0772c73bced0/3597066.cover.jpg)
Publisher
Association for Computing Machinery
New York, NY, United States
Publication History
Check for updates
Author Tags
Qualifiers
- Research-article
- Research
- Refereed limited
Conference
Acceptance Rates
Contributors
Other Metrics
Bibliometrics & Citations
Bibliometrics
Article Metrics
- 0Total Citations
- 113Total Downloads
- Downloads (Last 12 months)107
- Downloads (Last 6 weeks)14
Other Metrics
Citations
View Options
View options
View or Download as a PDF file.
PDFeReader
View online with eReader.
eReaderHTML Format
View this article in HTML Format.
HTML FormatGet Access
Login options
Check if you have access through your login credentials or your institution to get full access on this article.
Sign in