Abstract
We give some interesting identities on the twisted ()-Genocchi numbers and polynomials associated with -Bernstein polynomials.
Highlights
Let p be a fixed odd prime number
Throughout this paper, we always make use of the following notations: Z denotes the ring of rational integers, Zp denotes the ring of padic rational integer, Qp denotes the ring of p-adic rational numbers, and Cp denotes the completion of algebraic closure of Qp, respectively
Let N be the set of natural numbers and Z N {0}
Summary
Let p be a fixed odd prime number. Throughout this paper, we always make use of the following notations: Z denotes the ring of rational integers, Zp denotes the ring of padic rational integer, Qp denotes the ring of p-adic rational numbers, and Cp denotes the completion of algebraic closure of Qp, respectively. Let N be the set of natural numbers and Z N {0}. Let Cpn {ζ | ζpn 1} be the cyclic group of order pn and let. The p-adic absolute value is defined by |x| 1/pr, where x pr s/t r ∈ Q and s, t ∈ Z with s, t p, s p, t 1. In this paper we assume that q ∈ Cp with |q − 1|p < 1 as an indeterminate
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