A Generalized Hypergeometric Function II. Asymptotics and D4 Symmetry

Communications in Mathematical Physics

Volumn 243, Issue 3, 2003, Pages 389-412

  Ruijsenaars, S N M ^a  

^a CWI   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0348199397     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-003-0969-3     Document Type: Review

References (16)

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2. Ruijsenaars, S. N. M.: Systems of Calogero-Moser type. In: Proceedings of the 1994 Banff summer school Particles and fields. CRM Ser. in Math. Phys., Semenoff, G., Vinet, L., eds., New York: Springer, 1999, pp. 251-352
3. Askey, R., Wilson, J.: Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials. Mem. Am. Math. Soc. 319, (1985)
4. Gasper, G., Rahman, M.: Basic hypergeometric series. In: Encyclopedia of Mathematics and its Applications. 35, Cambridge: Cambridge Univ. Press 1990
5. Ruijsenaars, S. N. M.: Special functions defined by analytic difference equations. In: Proceedings of the Tempe NATO Advanced Study Institute "Special Functions 2000", NATO Science Series Vol. 30, Bustoz, J., Ismail, M., Suslov, S., eds., Dordrecht: Kluwer, 2001, pp. 281-333
6. Ruijsenaars, S. N. M.: Sine-Gordon solitons vs. relativistic Calogero-Moser particles. In: Proceedings of the Kiev NATO Advanced Study Institute "Integrable structures of exactly solvable two-dimensional models of quantum field theory", NATO Science Series Vol. 35, Pakuliak, S., von Gehlen, G., eds., Dordrecht: Kluwer, 2001, pp. 273-292
7. Ruijsenaars, S. N. M.: A generalized hypergeometric function III. Associated Hilbert space transform. To appear in Commun. Math. Phys. - DOI 10.1007/s00220-003-0970-x
8. Koornwinder, T. H.: Askey-Wilson polynomials for root systems of type BC. Contemp. Math. 138, 189-204 (1992)
9. van Diejen, J. F.: Self-dual Koornwinder-Macdonald polynomials. Invent. Math. 126, 319-339 (1996)
10. Grünbaum, F. A., Haine, L.: Some functions that generalize the Askey-Wilson polynomials. Commun. Math. Phys. 184, 173-202 (1997)
11. Ismail, M. E. H., Rahman, M.: The associated Askey-Wilson polynomials. Trans. Am. Math. Soc. 328, 201-237 (1991)
12. Suslov, S. K.: Some orthogonal very-well-poised 8φ7-functions. J. Phys. A: Math. Gen. 30, 5877-5885 (1997)
13. Suslov, S. K.: Some orthogonal very-well-poised 8φ7-functions that generalize Askey-Wilson polynomials. The Ramanujan Journal 5, 183-218 (2001)
14. Koelink, E., Stokman, J. V.: The Askey-Wilson function transform. Int. Math. Res. Notes No. 22, 1203-1227 (2001)
15. Stokman, J. V.: Askey-Wilson functions and quantum groups. Preprint, math.QA/0301330
16. Ruijsenaars, S. N. M.: Relativistic Lamé functions revisited. J. Phys. A: Math. Gen. 34, 10595-10612 (2001)