In this paper, we provide a method to construct a continued-fraction approximation based upon a given asymptotic expansion. As applications of the method developed here, we establish several continued-fraction approximations for the gamma and the digamma (or psi) functions.

中文翻译：

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一种构造连续分数近似的方法及其应用

在本文中，我们提供了一种基于给定渐近展开构造连续分数近似的方法。随着此处方法的应用发展，我们建立了伽玛和伽玛（或psi）函数的几个连续分数近似值。