Continued Fraction as a Discrete Nonlinear Transform

Abstract

The connection between a Taylor series and a continued-fraction involves a nonlinear relation between the Taylor coefficients $\{a_n\}$ and the continued-fraction coefficients $\{b_n\}$. In many instances it turns out that this nonlinear relation transforms a complicated sequence $\{a_n\}$ into a very simple one $\{b_n\}$. We illustrate this simplification in the context of graph combinatorics.

6 pages, OKHEP-93-05

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