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
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.
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