A conjecture about raising operators for Macdonald polynomials

Letters in Mathematical Physics

Volumn 73, Issue 1, 2005, Pages 71-81

  Shiraishi, Jun'ichi ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

Basic hypergeometric series; Macdonald polynomials; Raising operators

Indexed keywords

EID: 24144446143     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11005-005-7648-6     Document Type: Article

References (8)

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2. Macdonald, I. G.: Symmetric Functions and Hall Polynomials, 2nd edn. Oxford University Press, 1995.
3. Lassalle, M.: Explicitation des polynômes de Jack et de Macdonald en longueur trois, C. R. Math. Acad. Sci. Paris 333 (2001), 505-508.
4. Lassalle, M. and Schlosser, M.: An analytic formula for Macdonald polynomials, C. R. Math. Acad. Sci. Paris 337 (2003), 569-574.
5. Lassalle, M. and Schlosser, M.: Inversion of the Pieri formula for Macdonald polynomials, math.CO/0402127, to appear in Adv. Math.
6. Lassalle, M.: A short proof of generalized Jacobi-Trudi expansions for Macdonald polynomials, math.CO/0401032.
7. Shiraishi, J.: A Commutative Family of Integral Transformations and Basic Hypergeometric Series. I. Eigenfunctions, math.QA/0501251.
8. Shiraishi, J.: A Commutative Family of Integral Transformations and Basic Hypergeometric Series. II. Eigenfunctions and Quasi-Eigenfunctions, math.QA/0502228.