COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.59, sa.6, ss.2097-2110, 2010 (SCI-Expanded)
By using the q-Volkenborn integral on Z(p), in Simsek (2006) [33] and Simsek (2007) [34], generating functions for the (h, q)-Bernoulli polynomials and numbers were defined. By using these functions, we define a new twisted (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 a relation between twisted (h, q)-partial zeta functions and the twisted (h, q)-two-variable L-function. We find the value of this function at s = 0. We also find the residue of this function at s = 1. We construct a p-adic twisted (h, q)-L-function which interpolates the twisted (h, q)-Bernoulli polynomials: