2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73208We study the median in the Gamma distribution as a function of the parameter. Using methods from complex analysis we show that the derivative of the median is less than 1 and we thereby solve a conjecture of Chen and Rubin from 1986. We also study the asymptotic behaviour of the median at infinity and at zero.Classical Analysis and ODEsComplex Variables60E05(primary); 41A60, 33B15(secondary)text