An analytic formula for Macdonald polynomials;Une formule analytique pour les polynômes de Macdonald

Comptes Rendus Mathematique

Volumn 337, Issue 9, 2003, Pages 569-574

  Lassalle, Michel ^a   Schlosser, Michael ^b  

^a Université de Marne la Vallée   (France)

^b UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0345017130     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2003.09.020     Document Type: Article

References (9)

1. L.-K. Hua, Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains, American Mathematical Society, Providence, 1963.
2. N.H. Jing, T. Józefiak, A formula for two-row Macdonald functions, Duke Math. J. 67 (1992) 377-385.
3. C. Krattenthaler, Operator methods and Lagrange inversion, a unified approach to Lagrange formulas, Trans. Amer. Math. Soc. 305 (1988) 431-465.
4. C. Krattenthaler, A new matrix inverse, Proc. Amer. Math. Soc. 124 (1996) 47-59.
5. L. Lapointe, A. Lascoux, J. Morse, Determinantal expressions for Macdonald polynomials, Int. Math. Res. Not. 18 (1998) 957-978.
6. M. Lassalle, Explicitation des polynômes de Jack et de Macdonald en longueur trois, C. R. Acad. Sci. Paris, Sér. I Math. 333 (2001) 505-508.
7. M. Lassalle, Une q-spécialisation pour les fonctions symétriques monomiales, Adv. Math. 162 (2001) 217-242.
8. I.G. Macdonald, Symmetric Functions and Hall Polynomials, 2nd edn., Clarendon Press, Oxford, 1995.
9. r basic hypergeometric series, Ramanujan J. 1 (1997) 243-274.