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Combinatorial polynomials as moments, Hankel transforms and exponential\n Riordan arrays

2011/05/16 by Paul Barry, Barry, Paul
Computer Science · Mathematics · #11C20 #15B05 #15B36 #42C05 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Bayesian Methods and Mixture Models #Combinatorics (math.CO) #FOS: Mathematics #Mathematical functions and polynomials #Primary Primary: 11B83 #Secondary 05A15

paper · pdf · doi:10.48550/arxiv.1105.3044

openalex publication_date 2011/05/16 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

In the case of two combinatorial polynomials, we show that they can exhibited\nas moments of paramaterized families of orthogonal polynomials, and hence\nderive their Hankel transforms. Exponential Riordan arrays are the main\nvehicles used for this.\n

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