We consider two types of continued fraction expansions of the generating functions of Cauchy numbers. One type has been often studied by many authors, but another has not. In this paper, we give several continued fraction expansions of hypergeometric Cauchy numbers, shifted Cauchy numbers and leaping Cauchy numbers. In special cases, continued fraction expansions of the classical Cauchy numbers of both kinds are deduced.

中文翻译：

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广义柯西数的几个连续分数阶展开

我们考虑柯西数的生成函数的两种连续分数展开式。许多作者经常研究一种类型，但另一种却没有。在本文中，我们给出了超几何柯西数，移位柯西数和跃迁柯西数的几个连续分数展开。在特殊情况下，可以推论两种经典柯西数的连续分数展开式。