2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/88125We construct an integral representation of eigenfunctions for Macdonald's $q$-difference operator associated with the root system of type $C_n .$ It is given in terms of a restriction of a $q$-Jordan-Pochhammer integral. Choosing a suitable cycle of the integral, we obtain an integral representation of a special case of the Macdonald polynomial for the root system of type $C_n .$AMS-Latex, 6 pages, no figuresQuantum AlgebraEigenfunctions of Macdonald's $q$-difference operator for the root system of type $C_n$text