Bulletin of the Korean Mathematical Society (대한수학회보)

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SOME IDENTITIES ON THE BERNSTEIN AND q-GENOCCHI POLYNOMIALS

  • Received : 2012.09.24
  • Published : 2013.07.31
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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

References

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