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arXiv · 2102.03693

Separability Problems in Creative Telescoping

Shaoshi Chen·Ruyong Feng·Pingchuan Ma·Michael F. Singer
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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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Shaoshi Chen, Ruyong Feng, Pingchuan Ma, Michael F. Singer. 2021-02-07. Separability Problems in Creative Telescoping. https://arxiv.org/abs/2102.03693

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