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Volumn 204, Issue 2, 2006, Pages 539-571

Ruijsenaars' hypergeometric function and the modular double of Uq (sl2 (C))

Author keywords

Generalized hypergeometric functions; Hyperbolic Gamma functions; Modular double; Quantum groups

Indexed keywords


EID: 33745840508     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/j.aim.2005.05.023     Document Type: Article
Times cited : (12)

References (14)
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    • R. Askey, J. Wilson, Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials, Mem. Amer. Math. Soc. 54 (319) 1985.
  • 5
    • 0000821927 scopus 로고    scopus 로고
    • Askey-Wilson polynomials and the quantum SU (2) group: survey and applications
    • Koelink E. Askey-Wilson polynomials and the quantum SU (2) group: survey and applications. Acta Appl. Math. 44 3 (1996) 295-352
    • (1996) Acta Appl. Math. , vol.44 , Issue.3 , pp. 295-352
    • Koelink, E.1
  • 6
    • 84986222910 scopus 로고    scopus 로고
    • with appendix of M. Rahman, Fourier transforms on the quantum SU (1, 1) group
    • Koelink E., and Stokman J.V. with appendix of M. Rahman, Fourier transforms on the quantum SU (1, 1) group. Publ. Res. Inst. Math. Sci. 37 4 (2001) 621-715
    • (2001) Publ. Res. Inst. Math. Sci. , vol.37 , Issue.4 , pp. 621-715
    • Koelink, E.1    Stokman, J.V.2
  • 7
    • 0009464049 scopus 로고
    • Askey-Wilson polynomials as zonal spherical functions on the SU (2) quantum group
    • Koornwinder T.H. Askey-Wilson polynomials as zonal spherical functions on the SU (2) quantum group. SIAM J. Math. Anal. 24 (1993) 795-813
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 795-813
    • Koornwinder, T.H.1
  • 10
    • 0031540338 scopus 로고    scopus 로고
    • First order analytic difference equations and integrable systems
    • Ruijsenaars S.N.M. First order analytic difference equations and integrable systems. J. Math. Phys. 38 2 (1997) 1069-1146
    • (1997) J. Math. Phys. , vol.38 , Issue.2 , pp. 1069-1146
    • Ruijsenaars, S.N.M.1
  • 11
    • 0033517395 scopus 로고    scopus 로고
    • A generalized hypergeometric function satisfying four analytic difference equations of Askey-Wilson type
    • Ruijsenaars S.N.M. A generalized hypergeometric function satisfying four analytic difference equations of Askey-Wilson type. Comm. Math. Phys. 206 3 (1999) 639-690
    • (1999) Comm. Math. Phys. , vol.206 , Issue.3 , pp. 639-690
    • Ruijsenaars, S.N.M.1
  • 13
    • 0346308634 scopus 로고    scopus 로고
    • A generalized hypergeometric function III. Associated Hilbert space transform
    • Ruijsenaars S.N.M. A generalized hypergeometric function III. Associated Hilbert space transform. Comm. Math. Phys. 243 3 (2003) 413-448
    • (2003) Comm. Math. Phys. , vol.243 , Issue.3 , pp. 413-448
    • Ruijsenaars, S.N.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.