Symmetry Properties of Higher-Order Bernoulli Polynomials
نویسندگان
چکیده
Let p be a fixed prime number. Throughout this paper Zp, Qp, and Cp will, respectively, denote the ring of p-adic rational integers, the field of p-adic rational numbers, and the completion of algebraic closure of Qp. For x ∈ Cp, we use the notation x q 1 − q / 1 − q . Let UD Zp be the space of uniformly differentiable functions on Zp, and let vp be the normalized exponential valuation of Cp with |p|p p−vp p 1/p. For q ∈ Cp with |1 − q|p < 1, the q-Volkenborn integral on Zp is defined as
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