Abstract
In this chapter we switch from integers to the second most popular Euclidean Ring, namely univariate polynomials. Starting with the straightforward extension of the concept of continued fractions to arbitrary Euclidean rings, we specialize to polynomials and rational functions as well as the associated infinite objects which will be the formal Laurent series. Asking for the general existence of a representation of sequences and series using continued fractions, we will encounter fundamental and classical results by D. Bernoulli and Euler.
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