Separability Problems in Creative Telescoping
Symbolic Computation
2021-02-09 v1 Classical Analysis and ODEs
Abstract
For given multivariate functions specified by algebraic, differential or difference equations, the separability problem is to decide whether they satisfy linear differential or difference equations in one variable. In this paper, we will explain how separability problems arise naturally in creative telescoping and present some criteria for testing the separability for several classes of special functions, including rational functions, hyperexponential functions, hypergeometric terms, and algebraic functions.
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Cite
@article{arxiv.2102.03693,
title = {Separability Problems in Creative Telescoping},
author = {Shaoshi Chen and Ruyong Feng and Pingchuan Ma and Michael F. Singer},
journal= {arXiv preprint arXiv:2102.03693},
year = {2021}
}
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19 pages