Some Identities on the Generalized q-Bernoulli Numbers and Polynomials Associated with q-Volkenborn Integrals
نویسندگان
چکیده
Let p be a fixed prime number. Throughout this paper, Zp, Qp, C, and Cp will, respectively, denote the ring of p-adic rational integer, the field of p-adic rational numbers, the complex number field, and the completion of algebraic closure of Qp. Let N be the set of natural numbers and Z {0} ∪ N. Let νp be the normalized exponential valuation of Cp with |p|p p−νp p p−1. When one talks of q-extension, q is considered as an indeterminate, a complex number q ∈ C, or p-adic number q ∈ Cp. If q ∈ C, we normally assume that |q| < 1, and if q ∈ Cp, we normally assume that |1 − q|p < 1. We use the notation
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