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The 2-log-convexity of the Apéry Numbers
Apery numbers log-convexity 2-log-convexity infinite log-convexity
2014/6/3
We present an approach to proving the 2-log-convexity of sequences satisfying three-term recurrence relations. We show that the Apéry numbers, the Cohen-Rhin numbers, the Motzkin numbers, the Fine num...
Schur Positivity and the q-Log-convexity of the Narayana Polynomials
q-log-concavity q-log-convexity q-Narayana number Narayana polynomial lattice permutation Schur positivity Littlewood-Richardson rule
2014/6/3
Using Schur positivity and the principal specialization of Schur functions, we provide a proof of a recent conjecture of Liu and Wang on the q-log-convexity of the Narayana polynomials, and a proof of...
The q-log-convexity of the Narayana polynomials of type B
q-log-convexity Schur positivity Pieri's rule the Jacobi-Trudi identity principal specialization Narayana numbers of type B
2014/6/3
We prove a conjecture of Liu and Wang on the q-log-convexity of the Narayana polynomials of type B. By using Pieri's rule and the Jacobi-Trudi identity for Schur functions, we obtain an expansion of a...