A NOTE ON THE q-ANALOGUE OF p-ADIC log-GAMMA FUNCTION
نویسنده
چکیده
Let p be a fixed odd prime number. Throughout this paper Z, Q, Zp, Qp and Cp will respectively denote the ring of rational integers, the field of rational numbers, the ring p-adic rational integers, the field of p-adic rational numbers and the completion of the algebraic closure of Qp. Let vp be the normalized exponential valuation of Cp such that |p|p = p−vp(p) = p−1. If q ∈ Cp, we normally assume |q − 1|p < p 1 p−1 , so that q = exp(x log q) for |x|p ≤ 1. We use the notation
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