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We give an explicit Pieri formula for Macdonald polynomials attached to the root system C_n (with equal multiplicities).
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M. Lassalle, M. J. Schlosser, Inversion of the Pieri formula for Macdonald polynomials , Adv. Math. 202
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M. J. Schlosser, Macdonald polynomials and multivariable basic hypergeometric series , SIGMA 3
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J. F. van Diejen, M. Ito, Difference equations and Pieri formulas for G 2 G_{2} type Macdonald polynomials and integrability , Lett. Math. Phys. 86
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2003
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G. Gasper, M. Rahman, Basic hypergeometric series , second edition, Encyclopedia of mathematics and its applications 96
2004
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M. Lassalle, Some conjectures for Macdonald polynomials of type B, C, D , Sém. Lothar. Combin. 52
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2008
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R. Langer, M. J. Schlosser, S. O. Warnaar, Theta functions, elliptic hypergeometric series, and Kawanaka’s Macdonald polynomial conjecture , SIGMA 5
2009
Closest in time.
M. Lassalle, M. J. Schlosser, Recurrence formulas for Macdonald polynomials of type A , ArXiv 0902.2099, to appear in J. Alg. Comb.
2099
Closest in time.