On the $q$-Genocchi numbers and polynomials with weight zero and their applications

Details On the $q$-Genocchi numbers and polynomials with weight zero and their applications On the $q$-Genocchi numbers and polynomials with weight zero and their applications

2012-02-13

arxiv.org/abs/1202.2643v1

Mathematics

Number Theory

8 pages

Scientific paper

In this paper, the authors deal with the $q$-Genocchi numbers and polynomials
with weight zero. They discover some interesting relations via the $p$-adic
$q$-integral on $\mathbb{Z}_{p}$ and familiar basis Bernstein polynomials.
Finally, the authors show that the $p$-adic $\log$ gamma functions are
associated with the $q$-Genocchi numbers and polynomials with weight zero.

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