Interpolation function of the (h,q)-extension of twisted Euler numbers

In [H. Ozden, Y. Simsek, I.N. Cangul, Generating functions of the (h,q)-extension of Euler polynomials and numbers, Acta Math. Hungarica, in press (doi:10.1007/510474-008-7139-1)], by using p-adic q-invariant integral on in the fermionic sense, Ozden et al. constructed generating functions of the (h,q)-extension of Euler polynomials and numbers. They defined (h,q)-Euler zeta functions and (h,q)-Euler l-functions. They also raised the following problem: “Find a p-adic twisted interpolation function of the generalized twisted (h,q)-Euler numbers, ”. The aim of this paper is to give a partial answer to this problem. Therefore, we constructed twisted (h,q)-partial zeta function and twisted p-adic (h,q)-Euler l-functions: which interpolate (h,q)-extension of Euler numbers, at negative integers: By using this interpolation function and twisted (h,q)-partial zeta function, we proved distribution relations of the (h,q)-extension of generalized Euler polynomials. Consequently we find a partial answer to the above question.