SOME IDENTITIES ON THE BERNSTEIN AND q-GENOCCHI POLYNOMIALS

Title & Authors
SOME IDENTITIES ON THE BERNSTEIN AND q-GENOCCHI POLYNOMIALS
Kim, Hyun-Mee;

Abstract
Recently, T. Kim has introduced and analysed the $\small{q}$-Euler polynomials (see [3, 14, 35, 37]). By the same motivation, we will consider some interesting properties of the $\small{q}$-Genocchi polynomials. Further, we give some formulae on the Bernstein and $\small{q}$-Genocchi polynomials by using $\small{p}$-adic integral on $\small{\mathbb{Z}_p}$. From these relationships, we establish some interesting identities.
Keywords
Language
English
Cited by
1.
IDENTITIES INVOLVING THE (h, q)-GENOCCHI POLYNOMIALS AND (h, q)-ZETA-TYPE FUNCTION,;;;;;

Advanced Studies in Contemporary Mathematics, 2014. vol.24. 2, pp.227-240
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