On p-Adic Power Series
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🧮 math-ph
math.MP
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seriespowercannotconvergenceformulageneralizedhypergeometricinvestigated
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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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