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The \((t,q)\)-analogs of secant and tangent numbers - MaRDI portal

The \((t,q)\)-analogs of secant and tangent numbers (Q540137)

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scientific article; zbMATH DE number 5903055
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The \((t,q)\)-analogs of secant and tangent numbers
scientific article; zbMATH DE number 5903055

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    The \((t,q)\)-analogs of secant and tangent numbers (English)
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    1 June 2011
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    Summary: The secant and tangent numbers are given \((t, q)\)-analogs with an explicit combinatorial interpretation. This extends, both analytically and combinatorially, the classical evaluations of the Eulerian and Roselle polynomials at \(t = - 1\).
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    \(q\)-secant numbers
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    \(q\)-tangent numbers
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    \((t, q)\)-secant numbers
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    \((t, q)\)-tangent numbers
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    alternating permutations
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    pix
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    inverse major index
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    lec-statistic
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    inversion number
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    excedance number
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