On the Generalized q-Poly-Euler Polynomials of the Second Kind

In this work, we define the generalized q-poly-Euler numbers of the second kind of order alpha and the generalized q-poly-Euler polynomials of the second kind of order alpha. We investigate some basic properties for these polynomials and numbers. In addition, we obtain many identities, relations including the Roger-Sz ' ego polynomials, the Al-Salam Carlitz polynomials, q-analogue Stirling numbers of the second kind and two variable Bernoulli polynomials.