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

From MaRDI portal





scientific article; zbMATH DE number 5903055
Language Label Description Also known as
English
The \((t,q)\)-analogs of secant and tangent numbers
scientific article; zbMATH DE number 5903055

    Statements

    The \((t,q)\)-analogs of secant and tangent numbers (English)
    0 references
    0 references
    0 references
    1 June 2011
    0 references
    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 \(t = - 1\).
    0 references
    \(q\)-secant numbers
    0 references
    \(q\)-tangent numbers
    0 references
    \((t, q)\)-secant numbers
    0 references
    \((t, q)\)-tangent numbers
    0 references
    alternating permutations
    0 references
    pix
    0 references
    inverse major index
    0 references
    lec-statistic
    0 references
    inversion number
    0 references
    excedance number
    0 references

    Identifiers