Further results on the euler and Genocchi numbers
Further results on the euler and Genocchi numbers
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关于欧拉数和 Genocchi 数的进一步结果
DOI：
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发表时间：
1994
期刊：
影响因子：
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通讯作者：
Jiang Zeng
中科院分区：
文献类型：
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作者：
D. Dumont;Jiang Zeng
本文将Genocchi数和中位数Genocchi数的普通生成函数刻画为某些函数方程的唯一解，并给出了这些函数的几种连分式展开式的直接代数证明。还得到了这些数之间的新关系。
SummaryWe characterize the ordinary generating functions of the Genocchi and median Genocchi numbers as unique solutions of some functional equations and give a direct algebraic proof of several continued fraction expansions for these functions. New relations between these numbers are also obtained.