Generalized Lamé functions. I. The elliptic case

Journal of Mathematical Physics

Volumn 40, Issue 3, 1999, Pages 1595-1626

  Ruijsenaars, S N M ^a  

^a CWI   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033241385     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532822     Document Type: Article

References (15)

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3. S. N. M. Ruijsenaars, "Systems of Calogero-Moser type," to be published in Proceedings of the 1994 Banff Summer School 'Particles and fields,' edited by G. Semenoff and L. Vinet.
4. E. T. Whittaker and G. N. Watson, A Course of Modern Analysis (Cambridge University Press, Cambridge, 1973).
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7. I. Krichever and A. Zabrodin, "Spin generalization of the Ruijsenaars-Schneider model, non-Abelian 2D Toda chain and representations of Sklyanin algebra," Russ. Math. Surveys 50, 1101-1150 (1995).
8. 2)," Nucl. Phys. B 480, 485-503 (1996).
9. G. Felder and A. Varchenko, "Algebraic integrability of the two-body Ruijsenaars operator." preprint.
10. K. Hasegawa, "Ruijsenaars' commuting difference operators as commuting transfer matrices," Commun. Math. Phys. 187, 289-325 (1997).
11. S. N. M. Ruijsenaars, "Generalized Lamé functions. II. Hyperbolic and trigonometric specializations," J. Math. Phys. 40, 1627-1663 (1999).
12. S. N. M. Ruijsenaars, "Relativistic Lamé functions: The special case g = 2," to appear in J. Phys. A.
13. S. N. M. Ruijsenaars, "On relativistic Lamé functions," to be published in Proceedings of the 1997 Montreal Workshop on Calogero-Moser-Sutherland systems, edited by J. F. van Diejen and L. Vinet.
14. S. N. M. Ruijsenaars, "First order analytic difference equations and integrable quantum systems," J. Math. Phys. 38, 1069-1146 (1997).
15. N. E. Nörlund, Vorlesungen über Differenzenrechnung (Springer-Verlag, Berlin, 1924).