Constant coefficient Laurent biorthogonal polynomials, Riordan arrays\n and moment sequences

2019/06/14 by Paul Barry, Barry, Paul
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #11C20 #15B05 #15B36 #33C45 #33C45. 11B83 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Nonlinear Waves and Solitons #Phytochemical Studies and Bioactivities #Primary 42C05 #Proteoglycans and glycosaminoglycans research #Secondary 11B83

paper · pdf · doi:10.48550/arxiv.1906.06370

openalex publication_date 2019/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study properties of constant coefficient Laurent biorthogonal polynomials\nusing Riordan arrays. We give details of related orthogonal polynomials, and we\nexplore relationships between the moments of these orthogonal polynomials, the\nmoments of the defining Laurent biorthogonal polynomials, and the expansions of\nT-fractions. Closed form expressions are given for the polynomials and their\nmoments.\n

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