Padé approximations to the logarithm II: Identities, recurrences, and symbolic computation

Padé approximations to the logarithm II: Identities, recurrences, and symbolic computation
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DOI:
10.1007/s11139-006-6503-4
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发表时间:
2006-04
期刊:
The Ramanujan Journal
影响因子:
--
通讯作者:
K. Driver;H. Prodinger;Carsten Schneider;J. Weideman
K. Driver;H. Prodinger;Carsten Schneider;J. Weideman
中科院分区:
其他
文献类型:
--
作者:
K. Driver;H. Prodinger;Carsten Schneider;J. Weideman

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证明了文[25]中所需的组合恒等式,主要是用C. Schneider的计算机代数软件包Sigma。任意阶对数的Padé近似的形式是一个猜想。
Combinatorial identities that were needed in [25] are proved, mostly with C. Schneider’s computer algebra packageSigma. The form of the Padé approximation of the logarithm of arbitrary order is stated as a conjecture.