一个新的包含欧拉数的伯努利数显式公式

Q4 Mathematics

Moscow Journal of Combinatorics and Number Theory Pub Date : 2019-06-13 DOI:10.31219/osf.io/zkwjc

S. Jha

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引用次数: 6

摘要

在这个简短的注释中，我们根据第二类Stirling数和Euler数导出了伯努利数的一个新的显式公式。作为结果的推论，我们得到了关于第二类Stirling数的Euler数的一个显式公式。

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A new explicit formula for Bernoulli numbers involving the Euler number

In this brief note, we derive a new explicit formula for Bernoulli numbers in terms of the Stirling numbers of the second kind and the Euler numbers. As a corollary of our result, we obtain an explicit formula for the Euler numbers in terms of the Stirling numbers of the second kind.

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来源期刊

Moscow Journal of Combinatorics and Number Theory Mathematics-Algebra and Number Theory

CiteScore

0.80

自引率

0.00%

发文量