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math.CO2013
Embedding structures associated with Riordan arrays and moment matrices
Paul Barry
Every ordinary Riordan array contains two naturally embedded Riordan arrays. We explore this phenomenon, and we compare it to the situation for certain moment matrices of families…
math.CO2013
Comparing two matrices of generalized moments defined by continued fraction expansions
Paul Barry
We study two matrices and defined by the parameters of equivalent - and -continued fraction expansions, and compare them by examining the product . Using exa…
math.CA2013★ 1 cited
Laurent Biorthogonal Polynomials and Riordan Arrays
Paul Barry
We show that Laurent biorthogonal polynomials whose defining three-term recurrence have constant coefficients have coefficient arrays that are Riordan arrays. For each such family…