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Sums Involving Moments of Reciprocals of Binomial Coefficients

机译:涉及二项式系数倒数的矩的和

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摘要

We investigate sums of the form We establish a recurrence relation and compute its ordinary generating function. As application we give the asymptotic expansion. The results extend the earlier works by various authors. In the last section, we establish that tends to as and that tends to as .
机译:我们调查以下形式的总和:建立递归关系并计算其普通生成函数。作为应用程序,我们给出渐近展开。结果扩展了多位作者的早期著作。在上一节中,我们确定趋于as和趋于as。

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