A family of harmonic superspaces associated with four-dimensional Minkowski spacetime is described. Applications are given to free mass-less supermultiplets, invariant integrals and super Yang-Mills. The generalisation to curved spacetimes is given with emphasis on confor-mal supergravities.

The purpose of this paper is to introduce the some interesting properties of q-Euler numbers and polynomials, cf. [1, 2, 5]. Finally, we will consider the “ sums of products of q-Euler polynomials”.