Counting pairs of nonintersecting lattice paths with respect to weighted turns (Q1917524)

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scientific article; zbMATH DE number 897604
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Counting pairs of nonintersecting lattice paths with respect to weighted turns
scientific article; zbMATH DE number 897604

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    Counting pairs of nonintersecting lattice paths with respect to weighted turns (English)
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    9 December 1996
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    The authors have found a formula involving \(q\)-binomial coefficients for counting pairs of nonintersecting lattice paths which have a prescribed number of weighted turns. The formula is a \(q\)-analogue of a variant of the formula given by \textit{G. Kreweras} and \textit{Y. Poupard} [Eur. J. Comb. 7, 141-149 (1988; Zbl 0647.05007)].
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    \(q\)-binomial coefficients
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    counting pairs
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    lattice paths
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    weighted turns
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