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http://dx.doi.org/10.4134/BKMS.2013.50.4.1289

SOME IDENTITIES ON THE BERNSTEIN AND q-GENOCCHI POLYNOMIALS  

Kim, Hyun-Mee (Department of General Education Kookmin University)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.4, 2013 , pp. 1289-1296 More about this Journal
Abstract
Recently, T. Kim has introduced and analysed the $q$-Euler polynomials (see [3, 14, 35, 37]). By the same motivation, we will consider some interesting properties of the $q$-Genocchi polynomials. Further, we give some formulae on the Bernstein and $q$-Genocchi polynomials by using $p$-adic integral on $\mathbb{Z}_p$. From these relationships, we establish some interesting identities.
Keywords
q-Genocchi number; q-Genocchi polynomial; Bernstein polynomial; p-adic integral;
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