The Graham–Knuth–Patashnik Recurrence: Symmetries and Continued Fractions

We study the triangular array defined by the Graham–Knuth–Patashnik recurrence$T(n,k) = (\alpha n + \beta k + \gamma)\, T(n-1,k)+(\alpha' n + \beta' k + \gamma') \, T(n-1,k-1)$with initial condition$T(0,k) = \delta_{k0}$and parameters$\mathbf{\mu} = (\alpha,\beta,\gamma, \alpha',...

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Bibliographic Details
Published in:The Electronic journal of combinatorics 2021-05, Vol.28 (2)
Main Authors: Salas, Jesús, Sokal, Alan D.
Format: Article
Language:English
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