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Volumn 150, Issue 2, 2007, Pages 266-277

Elliptic hypergeometric functions and Calogero-Sutherland-type models

Author keywords

Calogero Sutherland model; Completely integrable system; Elliptic function; Hypergeometric function

Indexed keywords


EID: 33847195076     PISSN: 00405779     EISSN: 15739333     Source Type: Journal    
DOI: 10.1007/s11232-007-0020-5     Document Type: Article
Times cited : (27)

References (17)
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  • 2
    • 0004216016 scopus 로고    scopus 로고
    • Encyclopedia Math. Appl, Cambridge Univ. Press, Cambridge 2004
    • G. Gasper and M. Rahman, Basic Hypergeometric Series (Encyclopedia Math. Appl., Vol. 96), Cambridge Univ. Press, Cambridge (2004).
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    • Gasper, G.1    Rahman, M.2
  • 3
    • 29244432436 scopus 로고    scopus 로고
    • Elliptic hypergeometric functions,
    • Doctoral dissertation, Lab. Theor. Phys, Joint Inst. Nucl. Res, Dubna
    • V. P. Spiridonov, "Elliptic hypergeometric functions," Doctoral dissertation, Lab. Theor. Phys., Joint Inst. Nucl. Res., Dubna (2004).
    • (2004)
    • Spiridonov, V.P.1
  • 7
    • 10244271854 scopus 로고    scopus 로고
    • Transformations of elliptic hypergeometric integrals
    • math.QA/0309252
    • E. M. Rains, "Transformations of elliptic hypergeometric integrals," math.QA/0309252 (2003).
    • (2003)
    • Rains, E.M.1
  • 8
    • 33847194586 scopus 로고    scopus 로고
    • Properties of generalized univariate hypergeometric functions
    • math.CA/0607250
    • F. J. van de Bult, E. M. Rains, and J. V. Stokman, "Properties of generalized univariate hypergeometric functions," math.CA/0607250 (2006).
    • (2006)
    • van de Bult, F.J.1    Rains, E.M.2    Stokman, J.V.3
  • 10
    • 0001432807 scopus 로고    scopus 로고
    • Elliptic solutions of the Yang-Baxter equation and modular hypergeometric functions
    • V. O. Arnold, M. I. Gelfand, V. S. Retakh, and M. Smirnov, eds, Birkhäuser, Boston, Mass
    • I. B. Frenkel and V. G. Turaev, "Elliptic solutions of the Yang-Baxter equation and modular hypergeometric functions," in: The Arnold-Gelfand Mathematical Seminars: Geometry and Singularity Theory (V. O. Arnold, M. I. Gelfand, V. S. Retakh, and M. Smirnov, eds.), Birkhäuser, Boston, Mass. (1997), pp. 171-204.
    • (1997) The Arnold-Gelfand Mathematical Seminars: Geometry and Singularity Theory , pp. 171-204
    • Frenkel, I.B.1    Turaev, V.G.2
  • 14
    • 21344479784 scopus 로고
    • Families of commuting difference operators
    • Doctoral dissertation, Universiteit van Amsterdam, Amsterdam 1994
    • J. F. van Diejen, J. Math. Phys., 35, 2983-3004 (1994); "Families of commuting difference operators," Doctoral dissertation, Universiteit van Amsterdam, Amsterdam (1994).
    • (1994) J. Math. Phys , vol.35 , pp. 2983-3004
    • van Diejen, J.F.1
  • 16
    • 33847179790 scopus 로고    scopus 로고
    • N analytic difference operators: Hidden parameter symmetries and eigenfunctions, in: New Trends in Integrability and Partial Solvability (NATO Sci Ser., 132, A. B. Shabat, A. González-López, M. Mañas, L. Martínez-Alonso, and M. A. Rodrígues), Kluwer, Dordrecht (2004), pp. 217-261.
    • N analytic difference operators: Hidden parameter symmetries and eigenfunctions," in: New Trends in Integrability and Partial Solvability (NATO Sci Ser., Vol. 132, A. B. Shabat, A. González-López, M. Mañas, L. Martínez-Alonso, and M. A. Rodrígues), Kluwer, Dordrecht (2004), pp. 217-261.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.