The q-Log-convexity of the Narayana Polynomials of Type B
نویسندگان
چکیده
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 JacobiTrudi identity for Schur functions, we obtain an expansion of a sum of products of elementary symmetric functions in terms of Schur functions with nonnegative coefficients. By the principal specialization this, leads to q-logconvexity. We also show that the linear transformation with respect to the triangular array of Narayana numbers of type B is log-convexity preserving.
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تاریخ انتشار 2009