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Volumn 387, Issue 1-3 SUPPL., 2004, Pages 235-276

Leonard pairs and the q-Racah polynomials

Author keywords

Askey scheme; Askey Wilson polynomials; Leonard pair; q Racah polynomial; Tridiagonal pair

Indexed keywords

MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; PARAMETER ESTIMATION; SET THEORY; THEOREM PROVING; VECTORS;

EID: 2942585639     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2004.02.014     Document Type: Article
Times cited : (102)

References (16)
  • 2
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    • R. Askey, J.A. Wilson, A set of orthogonal polynomials that generalize the Racah coefficients or 6 - j symbols, SIAM J. Math. Anal. 10 (1979) 1008-1016.
    • (1979) SIAM J. Math. Anal. , vol.10 , pp. 1008-1016
    • Askey, R.1    Wilson, J.A.2
  • 5
    • 0012730956 scopus 로고    scopus 로고
    • Some algebra related to P- and Q-polynomial association schemes
    • Piscataway, NJ, Amer. Math. Soc., Providence, RI
    • T. Ito, K. Tanabe, P. Terwilliger, Some algebra related to P- and Q-polynomial association schemes, in: Codes and Association Schemes (Piscataway, NJ, 1999), vol. 56, Amer. Math. Soc., Providence, RI, 2001, pp. 167-192.
    • (1999) Codes and Association Schemes , vol.56 , pp. 167-192
    • Ito, T.1    Tanabe, K.2    Terwilliger, P.3
  • 7
    • 0001282924 scopus 로고
    • Orthogonal polynomials, duality, and association schemes
    • D. Leonard, Orthogonal polynomials, duality, and association schemes, SIAM J. Math. Anal. 13 (4) (1982) 656-663.
    • (1982) SIAM J. Math. Anal. , vol.13 , Issue.4 , pp. 656-663
    • Leonard, D.1
  • 9
    • 0035877109 scopus 로고    scopus 로고
    • Two linear transformations each tridiagonal with respect to an eigenbasis of the other
    • P. Terwilliger, Two linear transformations each tridiagonal with respect to an eigenbasis of the other, Linear Algebra Appl. 330 (2001) 149-203.
    • (2001) Linear Algebra Appl. , vol.330 , pp. 149-203
    • Terwilliger, P.1
  • 10
    • 0012657956 scopus 로고    scopus 로고
    • Two relations that generalize the q-Serre relations and the Dolan-Grady relations
    • World Scientific Publishing, River Edge, NJ
    • P. Terwilliger, Two relations that generalize the q-Serre relations and the Dolan-Grady relations, Physics and Combinatorics 1999 (Nagoya), World Scientific Publishing, River Edge, NJ, 2001.
    • (2001) Physics and Combinatorics 1999 (Nagoya)
    • Terwilliger, P.1
  • 11
    • 0036624901 scopus 로고    scopus 로고
    • Leonard pairs from 24 points of view
    • P. Terwilliger, Leonard pairs from 24 points of view, Rocky Mountain J. Math. 32 (2) (2002) 827-888.
    • (2002) Rocky Mountain J. Math. , vol.32 , Issue.2 , pp. 827-888
    • Terwilliger, P.1
  • 13
    • 0037382602 scopus 로고    scopus 로고
    • Introduction to Leonard pairs. OPSFA Rome 2001
    • P. Terwilliger, Introduction to Leonard pairs. OPSFA Rome 2001, J. Comput. Appl. Math. 153 (2) (2003) 463-475.
    • (2003) J. Comput. Appl. Math. , vol.153 , Issue.2 , pp. 463-475
    • Terwilliger, P.1
  • 14
    • 0001840742 scopus 로고    scopus 로고
    • Introduction to Leonard pairs and Leonard systems
    • Algebraic combinatorics (Kyoto, 1999)
    • P. Terwilliger, Introduction to Leonard pairs and Leonard systems, Sūrikaisekikenkyūsho Kōkyūroku (1109) (1999) 67-79, Algebraic combinatorics (Kyoto, 1999).
    • (1999) Sūrikaisekikenkyūsho Kōkyūroku (1109) , pp. 67-79
    • Terwilliger, P.1
  • 16
    • 0348167053 scopus 로고    scopus 로고
    • Two linear transformations each tridiagonal with respect to an eigenbasis of the other: Comments on the parameter array
    • Oisterwijk, The Netherlands , submitted for publication
    • P. Terwilliger, Two linear transformations each tridiagonal with respect to an eigenbasis of the other: comments on the parameter array. Geometric and Algebraic Combinatorics 2, Oisterwijk, The Netherlands 2002, submitted for publication.
    • (2002) Geometric and Algebraic Combinatorics , vol.2
    • Terwilliger, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.