Constant coefficient Laurent biorthogonal polynomials, Riordan arrays and moment sequences

Autor:	Barry, Paul
Rok vydání:	2019
Předmět:	Mathematics - Combinatorics Primary 42C05 Secondary 11B83 11C20 15B05 15B36 33C45. 11B83 11C20 15B05 15B36 33C45. 11B83 11C20 15B05 15B36 33C45
Druh dokumentu:	Working Paper
Popis:	We study properties of constant coefficient Laurent biorthogonal polynomials using Riordan arrays. We give details of related orthogonal polynomials, and we explore relationships between the moments of these orthogonal polynomials, the moments of the defining Laurent biorthogonal polynomials, and the expansions of $T$-fractions. Closed form expressions are given for the polynomials and their moments. Comment: 14 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1906.06370 Zobrazit plný text záznamu View this record from Arxiv