Difference equations of q-Appell polynomials

In this paper, we study some properties of the q-Appell polynomials, including the recurrence relations and the q-difference equations which extend some known calssical (q=1) results. We also provide the recurrence relations and the q-difference equations for q-Bernoulli polynomials, q-Euler polynomials, q-Genocchi polynomials and for newly defined q-Hermite polynomials, as special cases of q-Appell polynomial

Frobenius-Euler and Frobenius-Genocchi Polynomials and their differential equations

Recently, Frobenius-Euler polynomial has been an active research area in Applied Mathematics and number theory. In the present paper, we obtain differential equations of Frobenius-Euler polynomials by using quasi-monomiality principle. Furthermore, we introduce Frobenius-Genocchi polynomials and obtain some recurrence relation and some differential equations