Combinatorics of orthogonal polynomials of type RI

Jang Soo Kim; Dennis Stanton

doi:10.1007/s11139-021-00464-1

Combinatorics of orthogonal polynomials of type R_I

Jang Soo Kim
, Dennis Stanton

Department of Mathematics

University of Minnesota Twin Cities

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

A combinatorial theory for type R_I orthogonal polynomials is given. The ingredients include weighted generalized Motzkin paths, moments, continued fractions, determinants, and histories. Several explicit examples in the Askey scheme are given.

Original language	English
Pages (from-to)	329-390
Number of pages	62
Journal	Ramanujan Journal
Volume	61
Issue number	2
DOIs	https://doi.org/10.1007/s11139-021-00464-1
State	Published - Jun 2023

Keywords

Continued fractions
Lattice paths
Moments
Orthogonal polynomials

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10.1007/s11139-021-00464-1

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title = "Combinatorics of orthogonal polynomials of type RI",

abstract = "A combinatorial theory for type RI orthogonal polynomials is given. The ingredients include weighted generalized Motzkin paths, moments, continued fractions, determinants, and histories. Several explicit examples in the Askey scheme are given.",

keywords = "Continued fractions, Lattice paths, Moments, Orthogonal polynomials",

author = "Kim, \{Jang Soo\} and Dennis Stanton",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2023",

month = jun,

doi = "10.1007/s11139-021-00464-1",

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AU - Stanton, Dennis

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AB - A combinatorial theory for type RI orthogonal polynomials is given. The ingredients include weighted generalized Motzkin paths, moments, continued fractions, determinants, and histories. Several explicit examples in the Askey scheme are given.

KW - Continued fractions

KW - Lattice paths

KW - Moments

KW - Orthogonal polynomials

UR - https://www.scopus.com/pages/publications/85118173646

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DO - 10.1007/s11139-021-00464-1

M3 - Article

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VL - 61

SP - 329

EP - 390

JO - Ramanujan Journal

JF - Ramanujan Journal

IS - 2

ER -

Combinatorics of orthogonal polynomials of type R_I

Abstract

Keywords

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