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arXiv · hep-th/9304052

Continued Fraction as a Discrete Nonlinear Transform

Carl M. Bender·Kimball A. Milton
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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.

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Carl M. Bender, Kimball A. Milton. 1993-04-13. Continued Fraction as a Discrete Nonlinear Transform. https://doi.org/10.1063/1.530777

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