On the p-Adic Interpolation Functions of the Generalized Twisted (h, q)-Euler Numbers
نویسنده
چکیده
Recently, Cangul et al. [I.N. Cangul, H. Ozden and Y. Simsek, Generating functions of the (h, q) extension of twisted Euler polynomials and numbers, Acta Math. Hungar. 120(3) (2008), 281-299] constructed new generating functions of the twisted (h, q)-Euler numbers and polynomials attached to a Dirichlet character χ. They also constructed the partially twisted (h, q)-zeta function. They suggested the question to find a p-adic twisted interpolation function of the generalized twisted (h, q)-Euler numbers, E (h) n,χ,ξ(q), at negative integers. In this paper, we give the partial answer for the question of them. We find the p-adic twisted interpolation functions, which interpolate the generalized twisted (h, q)-Euler numbers at negative integers. Moreover, we also give the Kummer type’s congruence. Mathematics Subject Classification: 11S80, 11B68, 11S40
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