Reduction-Based Creative Telescoping for Fuchsian D-finite Functions
Reduction-Based Creative Telescoping for Fuchsian D-finite Functions
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DOI：
10.1016/j.jsc.2017.07.005
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发表时间：
2016-11
期刊：
影响因子：
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通讯作者：
Shaoshi Chen;M. V. Hoeij;Manuel Kauers;C. Koutschan
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文献类型：
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作者：
Shaoshi Chen;M. V. Hoeij;Manuel Kauers;C. Koutschan
继续一系列的文章在过去几年中创造性的伸缩使用减少，我们适应Trager的厄米减少代数函数的fuchsian D-有限函数的奇异性有真实的指数。我们为这类函数开发了一个基于约简的创造性伸缩算法，从而推广了我们最近在ISSAC 2016上提出的代数函数的基于约简的算法。
Continuing a series of articles in the past few years on creative telescoping using reductions, we adapt Trager's Hermite reduction for algebraic functions to fuchsian D-finite functions whose singularities have real exponents. We develop a reduction-based creative telescoping algorithm for this class of functions, thereby generalizing our recent reduction-based algorithm for algebraic functions, presented at ISSAC 2016.