The aim of this paper, firstly, is to construct generating functions of q‐Euler numbers and polynomials of higher order by applying the fermionic p‐adic q‐Volkenborn integral, secondly, to define multivariate q‐Euler zeta function (Barnes‐type Hurwitz q‐Euler zeta function) and l‐function which interpolate these numbers and polynomials at negative integers, respectively. We give relation between Barnes‐type Hurwitz q‐Euler zeta function and multivariate q‐Euler l‐function. Moreover, complete sums of products of these numbers and polynomials are found. We give some applications related to these numbers and functions as well.

The main purpose of this paper is to construct generating functions of higher-order twisted -extension of Euler polynomials and numbers, by using -adic, -deformed fermionic integral on . By applying these generating functions, we prove complete sums of products of the twisted -extension of Euler polynomials and numbers. We also define some identities involving twisted -extension of Euler polynomials and numbers.