Abstract

We present a second explicit difference equation and-by duality symmetry-a second explicit Pieri formula for the Macdonald polynomials associated with the exceptional root system of type G 2, complementing the celebrated difference equation and Pieri formula due to Macdonald. As by-product, we find a complete set of integrals for the corresponding trigonometric Ruijsenaars-Schneider type particle system. © 2008 Springer.