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Adjacencies in words (Q1902813)

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scientific article; zbMATH DE number 820044
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Adjacencies in words
scientific article; zbMATH DE number 820044

    Statements

    Adjacencies in words (English)
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    18 June 1996
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    With the help of two inversion formulas the generating functions for generalized \(q\)-Eulerian polynomials on \(r\)-tuples of permutations [\textit{R. P. Stanley}, J. Comb. Theory, Ser. A 20, 336-356 (1976; Zbl 0331.05004)] are obtained. Also the authors obtain the Diekert lifting to the free monoid of an inversion formula [\textit{P. Cartier} and \textit{D. Foata}, Lect. Notes Math. 85 (1969; Zbl 0186.30101)].
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    generating functions
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    \(q\)-Eulerian polynomials
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