Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773285 | Linear Algebra and its Applications | 2017 | 14 Pages |
Abstract
Let R=[rn,k]n,kâ¥0 be a Riordan array. Define the row polynomials Rn(q)=âk=0nrn,kqk and the row polynomial matrix R(q)=[rn,k(q)]n,kâ¥0 by rn,k(q)=âj=knrn,jqjâk. Then R(q) is also a Riordan array with the Rn(q) located on the leftmost column of R(q). In this paper we investigate combinatorial properties of the matrix R(q) and the sequence (Rn(q))nâ¥0, including their characterizations, the q-total positivity of R(q) and the q-log-convexity of (Rn(q))nâ¥0.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Lili Mu, Jianxi Mao, Yi Wang,