Twisted (h,q)-Bernoulli numbers and polynomials related to twisted (h,q)-zeta function and L-function

AbstractIn this paper, by using q-Volkenborn integral, we construct new generating functions of the new twisted (h,q)-Bernoulli polynomials and numbers. By applying the Mellin transformation to these generating functions, we obtain integral representations of the new twisted (h,q)-zeta function and twisted (h,q)-L-function, which interpolate the twisted (h,q)-Bernoulli numbers and generalized twisted (h,q)-Bernoulli numbers at non-positive integers, respectively. Furthermore, relation between twisted (h,q)-zeta function and twisted (h,q)-L-function are proved. Some new relations, related to twisted (h,q)-Bernoulli polynomials and numbers, are given