Shortened recurrence relations for Bernoulli numbers
Shortened recurrence relations for Bernoulli numbers
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DOI：
10.1016/j.disc.2008.01.030
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发表时间：
2009-03
期刊：
影响因子：
--
通讯作者：
T. Agoh;K. Dilcher
中科院分区：
文献类型：
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作者：
T. Agoh;K. Dilcher
从Saalschütz的两个鲜为人知的结果出发，我们得到了Bernoulli数的一些一般递推关系。这些关系涉及任意少量的项，并且具有两种类型的Stirling数作为系数。作为特例，我们得到了Bernoulli数的显式公式，以及几个已知恒等式。
Starting with two little-known results of Saalschütz, we derive a number of general recurrence relations for Bernoulli numbers. These relations involve an arbitrarily small number of terms and have Stirling numbers of both kinds as coefficients. As special cases we obtain explicit formulas for Bernoulli numbers, as well as several known identities.