On p-Adic Power Series

Details On p-Adic Power Series On p-Adic Power Series

2004-02-18

arxiv.org/abs/math-ph/0402051v1

Physics

Mathematical Physics

12 pages; Published in Lecture Notes in Pure and Applied Mathematics, Vol. 207, 65-75 (1999)

Scientific paper

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.

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