关于连分数的观察
Observations on continued fractions
摘要：
这是欧拉的拉丁文论文“De fractionibus continuis observationes”翻译成英语。本文介绍了欧拉的连分数理论。他教，如何将系列转化为连分数，解决了里卡蒂微分方程的手段，连分数，并发现了许多其他有趣的公式和结果（例如，连分数的商两个超几何级数通常归因于高斯）
英文摘要：
This is a translation of Euler's Latin paper "De fractionibus continuis observationes" into English. In this paper Euler describes his theory of continued fractions. He teaches, how to transform series into continued fractions, solves the Riccati-Differential equation by means of continued fractions and finds many other interesting formulas and results (e.g, the continued fraction for the quotient of two hypergeometric series usually attributed to Gauß)
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