2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153610We present a new formula of Cauchy type for the nonsymmetric Macdonald polynomials which are joint eigenfunctions of q-Dunkl operators. This gives the explicit formula for a reproducing kernel on the polynomial ring of n variables.19 pages, AMS-TeX Ver.2.1, no figuresQuantum Algebratext