On the fermionic p-adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials

2010/08/31 by T. Kim, Kim, T., J. Choi +5
Mathematics · #11B68 #11S80 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11B68 #msc:11S80

paper · pdf · doi:10.48550/arxiv.1008.5207

10 pages

arxiv created 2010/08/31 · arxiv updated 2010/09/01

Abstract

In this paper, we give a fermionic p-adic integral representions of Benstein polynomials associated with Euler numbers and polynomials. Finally, we give some interesting identities for the Euler numbers by using the properties of our integral represention.

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• Some identities of special numbers and polynomials arising from p-adic integrals on Zp