On p-Adic Power Series
Abstract
Description
We 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)
12 pages; Published in Lecture Notes in Pure and Applied Mathematics, Vol. 207, 65-75 (1999)