Raising Operators of Row Type for Macdonald Polynomials

Compositio Mathematica

Volumn 120, Issue 2, 2000, Pages 119-136

  Kajihara, Yasushi ^a   Noumi, Masatoshi ^a  

^a KOBE UNIVERSITY   (Japan)

Author keywords

Macdonald polynomials; q binomial theorem; Raising operators

Indexed keywords

EID: 0042188343     PISSN: 0010437X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1001771421176     Document Type: Article

References (7)

1. Gustafson, R. A.: Multilateral summation theorem for ordinary and basic hypergeometric series in U (n), SIAM J. Math. Anal. 18 (1987), 1576-1596.
2. Jing, N.: Vertex operators and Hall-Littlewood symmetric functions, Adv. in Math. 87 (1991), 226-248.
3. Jing, N. and Jozefiak, T.: A formula for two-row Macdonald functions, Duke Math. J. 67(2) (1992), 377-385.
4. Kirillov, A. N. and Noumi, M.: q-difference raising operators for Macdonald Polynomials and the integrality of transution coefficients, Preprint, q-alg/9605005.
5. Kirillov, A. N. and Noumi, M.: Affine Hecke algebras and raising operators for Macdonald polynomials, Duke Math. J. 93(1) (1998), 1-39.
6. Macdonald, I. G.: Symmetric Functions and Hall Polynomials, 2nd edn, Oxford Univ Press, 1995.
7. 2 summation formulas for U (n) basic hypergeometric series, Adv. in Math. to appear.