Continued Fraction as a Discrete Nonlinear Transform

Carl M. Bender; Kimball A. Milton

doi:10.1063/1.530777

Continued Fraction as a Discrete Nonlinear Transform

高能物理 - 理论 2009-10-22 v1

作者: Carl M. Bender , Kimball A. Milton

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摘要

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.

引用

@article{arxiv.hep-th/9304052,
  title  = {Continued Fraction as a Discrete Nonlinear Transform},
  author = {Carl M. Bender and Kimball A. Milton},
  journal= {arXiv preprint arXiv:hep-th/9304052},
  year   = {2009}
}

备注

6 pages, OKHEP-93-05

Continued Fraction as a Discrete Nonlinear Transform

摘要

引用

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