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Volumn 37, Issue 7, 2004, Pages 2625-2635

The quantum algebra Uq(su2) and q-Krawtchouk families of polynomials

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EID: 1342310780     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/7/008     Document Type: Article
Times cited : (3)

References (18)
  • 1
    • 0000856269 scopus 로고
    • Sur une généralization des polynomes d'Hermite
    • Krawtchouk M 1929 Sur une généralization des polynomes d'Hermite C. R. Acad. Sci. Paris 189 620-2
    • (1929) C. R. Acad. Sci. Paris , vol.189 , pp. 620-622
    • Krawtchouk, M.1
  • 2
    • 0005318334 scopus 로고
    • Krawtchouk polynomials, a unification of two different group theoretical interpretations
    • Koornwinder T H 1982 Krawtchouk polynomials, a unification of two different group theoretical interpretations SIAM J. Math. Anal. 13 1011-23
    • (1982) SIAM J. Math. Anal. , vol.13 , pp. 1011-1023
    • Koornwinder, T.H.1
  • 3
    • 0007159514 scopus 로고
    • Representations of the twisted SU(2) quantum group and some q-hypergeometric orthogonal polynomials
    • Koornwinder T H 1989 Representations of the twisted SU(2) quantum group and some q-hypergeometric orthogonal polynomials Neder. Akad. Wetensch. Proc. Ser. A 92 97-117
    • (1989) Neder. Akad. Wetensch. Proc. Ser. A , vol.92 , pp. 97-117
    • Koornwinder, T.H.1
  • 4
    • 0009464049 scopus 로고
    • Askey-Wilson polynomials as zonal spherical functions on the SU(2) quantum group
    • Koornwinder T H 1993 Askey-Wilson polynomials as zonal spherical functions on the SU(2) quantum group SIAM J. Math. Anal. 24 795-813
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 795-813
    • Koornwinder, T.H.1
  • 7
    • 0011468468 scopus 로고
    • Some q-Krawtchouk polynomials on Chevalley groups
    • Stanton D 1980 Some q-Krawtchouk polynomials on Chevalley groups Am. J. Math. 102 625-62
    • (1980) Am. J. Math. , vol.102 , pp. 625-662
    • Stanton, D.1
  • 8
    • 23044521484 scopus 로고    scopus 로고
    • q-Krawtchouk polynomials as spherical functions on the Hecke algebra of type b
    • Koelink H T 2000 q-Krawtchouk polynomials as spherical functions on the Hecke algebra of type b Trans. Am. Math. Soc. 352 4789-813
    • (2000) Trans. Am. Math. Soc. , vol.352 , pp. 4789-4813
    • Koelink, H.T.1
  • 11
    • 0037382602 scopus 로고    scopus 로고
    • Introduction to Leonard pairs
    • Terwilliger P 2003 Introduction to Leonard pairs J. Comput. Appl. Math. 153 463-76
    • (2003) J. Comput. Appl. Math. , vol.153 , pp. 463-476
    • Terwilliger, P.1
  • 15
    • 0003349836 scopus 로고    scopus 로고
    • The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue
    • Koekoek R and Swarttouw R F 1998 The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue Delft University of Technology Report 98-17
    • (1998) Delft University of Technology Report , vol.98 , Issue.17
    • Koekoek, R.1    Swarttouw, R.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.