Geodesic
The \((t,q)\)-analogs of secant and tangent numbers
The electronic journal of combinatorics, The Zeilberger Festschrift volume, Tome 18 (2011) no. 2
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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 $t=-1$.
DOI : 10.37236/2003
Classification : 05A30, 33B10
Mots-clés : \(q\)-secant numbers, \(q\)-tangent numbers, \((t, q)\)-secant numbers, \((t, q)\)-tangent numbers, alternating permutations, pix, inverse major index, lec-statistic, inversion number, excedance number 
@article{10_37236_2003,
     author = {Dominique Foata and Guo-Niu Han},
     title = {The \((t,q)\)-analogs of secant and tangent numbers},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {2},
     doi = {10.37236/2003},
     zbl = {1233.05041},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/2003/}
}
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Dominique Foata; Guo-Niu Han. The \((t,q)\)-analogs of secant and tangent numbers. The electronic journal of combinatorics, The Zeilberger Festschrift volume, Tome 18 (2011) no. 2. doi: 10.37236/2003

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