伯努利数的一个新的组合恒等式及其在拉马努金调和数展开中的应用

Pub Date : 2023-01-01 DOI:10.2298/fil2306733x

Conglei Xu, Dechao Li

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引用次数: 0

摘要

我们建立了一个新的与伯努利数相关的组合恒等式，推广了Feng和Wang的结果。利用恒等式，我们找到了一个递推公式，用于连续确定拉马努金系数?广义调和数的S渐近展开

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A new combinatorial identity for Bernoulli numbers and its application in Ramanujan’s expansion of harmonic numbers

We establish a new combinatorial identity related to the well-known Bernoulli numbers, which generalizes the result due to Feng and Wang. By means of the identity, we find a recursive formula for successively determining the coefficients of Ramanujan?s asymptotic expansion for the generalized harmonic numbers

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