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arXiv 2109.02112math.CA
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基于多项式根的Generating Functions的P-有限递归

P-finite Recurrences From Generating Functions with Roots of Polynomials

Richard J. Mathar

摘要:

我们推导出具有包含多项式根的普通母函数的序列类的P-有限递归式。重点是建立D-有限的微分方程,使熟悉的步骤,减少其幂级数扩展适用。

英文摘要:

We derive the P-finite recurrences for classes of sequences with ordinary generating function containing roots of polynomials. The focus is on establishing the D-finite differential equations such that the familiar steps of reducing their power series expansions apply.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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