  By using q-Volkenborn integral on Z_{p}, we (simsek, simsekCanada)
constructed new generating functions of the (h,q)-Bernoulli polynomials and
numbers. By applying the Mellin transformation to the generating functions, we
constructed integral representation of the twisted (h,q)-Hurwitz function and
twisted (h,q)-two-variable L-function. By using these functions, we construct
twisted new (h,q)-partial zeta function which interpolates the twisted
(h,q)-Bernoulli polynomials and generalized twisted (h,q)-Bernoulli numbers at
negative integers. We give relation between twisted (h,q)-partial zeta
functions and twisted (h,q)-two-variable L-function. We find the value of this
function at s=0. We also find residue of this function at s=1. We construct
p-adic twisted (h,q)-L-function, which interpolates the twisted (h,q)-Bernoulli
polynomials.
