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math.CO2009★ 8 cited
An (inverse) Pieri formula for Macdonald polynomials of type C
Michel Lassalle
We give an explicit Pieri formula for Macdonald polynomials attached to the root system C_n (with equal multiplicities). By inversion we obtain an explicit expansion for two-row Ma…
math.CO2009★ 4 cited
Recurrence formulas for Macdonald polynomials of type A
Michel Lassalle, Michael J. Schlosser
We consider products of two Macdonald polynomials of type A, indexed by dominant weights which are respectively a multiple of the first fundamental weight and a weight having zero…