%0 Journal Article %T Generating Functions for q-Apostol Type Frobenius每Euler Numbers and Polynomials %A Yilmaz Simsek %J Axioms %D 2012 %I MDPI AG %R 10.3390/axioms1030395 %X The aim of this paper is to construct generating functions, related to nonnegative real parameters, for q-Eulerian type polynomials and numbers (or q-Apostol type Frobenius每Euler polynomials and numbers). We derive some identities for these polynomials and numbers based on the generating functions and functional equations. We also give multiplication formula for the generalized Apostol type Frobenius每Euler polynomials. %K Euler Numbers %K Frobenius每Euler Numbers %K Frobenius每Euler polynomials %K q-Frobenius每Euler polynomials %K q-series %K Generating function %U http://www.mdpi.com/2075-1680/1/3/395