A Note on Generalized q-Boole Polynomials
نویسندگان
چکیده
Let p be a prime number with p ≡ 1(mod 2). Throughout this paper, Zp,Qp and Cp will denote the ring of p-adic integers, the field of p-adic rational numbers and the completion of algebraic closure of Qp. The p-adic norm | · |p is normalized as |p|p = 1 p . Let q be an indeterminate in Cp such that |1− q|p < p −1 p−1 . The q-extension of number x be defined as [x]q = 1−qx 1−q . Note that limq→1[x]q = x. Let C(Zp) be the space of continuous functions on Zp. For f ∈ C(Zp), the fermionic p-adic q-integral on Zp is defined by Kim to be
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