This is a Maple package to perform definite summation and integration by the method of creative telescoping. More precisely, it uses a variant called reduction based creative telescoping. The algorithms implemented in this package can be found in two articles.
- For integrals: A. Bostan, F. Chyzak, P. Lairez, and B. Salvy, “Generalized Hermite Reduction, Creative Telescoping and Definite Integration of D-Finite Functions,” in ISSAC’18—Proceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation, 2018, pp. 95–102. http://dl.acm.org/authorize?N667523
- For sums: H. Brochet and B. Salvy, “Reduction-Based Creative Telescoping for Definite Summation of D-finite Functions”, in Journal of Symbolic Computation, volume 125.102329 (Nov. 2024), https://doi.org/10.1016/j.jsc.2024.102329
Contributors to the package include all the authors.
Open user_guide.mw in maple to see examples of how to use the package.
This package requires Mgfun to be installed: Download the .mla file at https://specfun.inria.fr/chyzak/mgfun.html and add it to the directory maple20XX/lib/.
You can directly download the file CreativeTelescoping.mla from our github page or build it from the src folder using the makefile. Then add it to the directory directory maple20XX/lib/.
If the package is correctly installed you should be able to load it:
with(CreativeTelescoping)
This package uses an internal function of the Mgfun package therefore at this stage it is needed to use the following command
kernelopts(opaquemodules = false):
You can now open the user_guide.mw file located in the maple_worksheets folder to test your installation on real examples and to learn the syntax.