2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77259We prove the Plancherel formula for hypergeometric functions associated to a root system in the situation when the root multiplicities are negative (but close to 0). As a result we obtain a classification of the hypergeometric functions that are square integrable, and we find a closed formula for their square norm as a function of the root multiplicities.18 pages, no figures. This paper is dedicated to Richard Askey, on the occasion of his 65th birthday. It will appear in a special issue of Methods and Applications of AnalysisRepresentation TheorySpectral Theory33C80;35P10text