TWO-DIMENSIONAL CONTINUUM WAVE FUNCTIONS FOR THREE-CHARGED PARTICLES S. Otranto(a,b), W.R. Cravero(a,b), G. Gasaneo(a,b), F. D. Colavecchia(a) and C. R. Garibotti(a) Centro Atomico Bariloche and Conicet, 8400 San Carlos de Bariloche, Argentina Departamento de Fisica, Universidad Nacional del Sur, 8000 Bahia Blanca, Argentina. In this work we present an approximate solution of the Schrodinger equation for the two dimensional three body problem. We explore separable and non separable solutions of the problem and analyze main differences with their three dimensional analogues.