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Combinatorial aspects of continued fractions

Authors: Philippe Flajolet;

Combinatorial aspects of continued fractions

Abstract

zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Keywords

Meixner, Continued fractions, Laguerre, Exact enumeration problems, generating functions, Bell numbers, Charlier, Stirling numbers, enumeration, Theoretical Computer Science, secant numbers, Discrete Mathematics and Combinatorics, Euler numbers, coefficients, inversion formulae, Continued fractions; complex-analytic aspects, Bell and Stirling numbers, continued fraction, cycles of binomial coefficients, Jacobi type, Rogers polynomial, Chebyshev, Binomial coefficients; factorials; \(q\)-identities, labelled paths, formal power series, direct combinatorial proofs, Catalan numbers, elliptic functions, Bernoulli and Euler numbers and polynomials, Hermite, Factorials, binomial coefficients, combinatorial functions

  • BIP!
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    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    267
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 1%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
267
Top 1%
Top 0.1%
Average
hybrid