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math.NT2010★ 7 cited
On the fermionic p-adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials
T. Kim, J. Choi, Y. H. Kim +1
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…
math.NT2010
A family of generalized q-Genocchi numbers and polynomials
T. Kim, Byungje Lee, C. S. Ryoo
In this paper we consider the q-extension of the generating function for the higher-order generalized Genocchi numbers and polynomials attached to Dirichlet's character.
math.NT2010
On the generalized higher-order q-Bernoulli numbers and polynomials
T. Kim, Byungje Lee, C. S. Ryoo
In this paper we give some interesting equation of p-adic q-integrals on Zp. From those p-adic q-integrals, we present a systemic study of some families of extended Carlitz q-Berno…