2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57655We obtained the region of convergence and the summation formula for some modified generalized hypergeometric series (1.2). We also investigated rationality of the sums of the power series (1.3). As a result the series (1.4) cannot be the same rational number in all Z_p.12 pages; Published in Lecture Notes in Pure and Applied Mathematics, Vol. 207, 65-75 (1999)Mathematical PhysicsOn p-Adic Power Seriestext