Moments of askey-wilson polynomials

Jang Soo Kim; Dennis Stanton

Moments of askey-wilson polynomials

Jang Soo Kim
, Dennis Stanton

University of Minnesota Twin Cities

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

New formulas for the n^th moment μ_n(a, b, c, d; q) of the Askey-Wilson polynomials are given. These are derived using analytic techniques, and by considering three combinatorial models for the moments: Motzkin paths, matchings, and staircase tableaux. A related positivity theorem is given and another one is conjectured.

Original language	English
Pages (from-to)	169-180
Number of pages	12
Journal	Discrete Mathematics and Theoretical Computer Science
State	Published - 2013
Externally published	Yes
Event	25th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2013 - Paris, France Duration: 24 Jun 2013 → 28 Jun 2013

Keywords

Askey-wilson polynomials
Hypergeometric series
Moments of orthogonal polynomials
Motzkin paths

Cite this

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title = "Moments of askey-wilson polynomials",

abstract = "New formulas for the nth moment μn(a, b, c, d; q) of the Askey-Wilson polynomials are given. These are derived using analytic techniques, and by considering three combinatorial models for the moments: Motzkin paths, matchings, and staircase tableaux. A related positivity theorem is given and another one is conjectured.",

keywords = "Askey-wilson polynomials, Hypergeometric series, Moments of orthogonal polynomials, Motzkin paths",

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

year = "2013",

language = "English",

pages = "169--180",

journal = "Discrete Mathematics and Theoretical Computer Science",

issn = "1462-7264",

publisher = "Maison de l'informatique et des mathematiques discretes",

note = "25th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2013 ; Conference date: 24-06-2013 Through 28-06-2013",

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TY - JOUR

T1 - Moments of askey-wilson polynomials

AU - Kim, Jang Soo

AU - Stanton, Dennis

PY - 2013

Y1 - 2013

N2 - New formulas for the nth moment μn(a, b, c, d; q) of the Askey-Wilson polynomials are given. These are derived using analytic techniques, and by considering three combinatorial models for the moments: Motzkin paths, matchings, and staircase tableaux. A related positivity theorem is given and another one is conjectured.

AB - New formulas for the nth moment μn(a, b, c, d; q) of the Askey-Wilson polynomials are given. These are derived using analytic techniques, and by considering three combinatorial models for the moments: Motzkin paths, matchings, and staircase tableaux. A related positivity theorem is given and another one is conjectured.

KW - Askey-wilson polynomials

KW - Hypergeometric series

KW - Moments of orthogonal polynomials

KW - Motzkin paths

UR - https://www.scopus.com/pages/publications/84887486350

M3 - Conference article

AN - SCOPUS:84887486350

SN - 1462-7264

SP - 169

EP - 180

JO - Discrete Mathematics and Theoretical Computer Science

JF - Discrete Mathematics and Theoretical Computer Science

T2 - 25th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2013

Y2 - 24 June 2013 through 28 June 2013

ER -

Moments of askey-wilson polynomials

Abstract

Keywords

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