MORE EXPANSION FORMULAS FOR q, ω-APOSTOL BERNOULLI AND EULER POLYNOMIALS

The purpose of this article is to continue the study of q, omega-special functions in the spirit of Wolfgang Hahn from the previous papers by Annaby et al. and Varma et al., with emphasis on q, omega-Apostol Bernoulli and Euler polynomials, Ward-omega numbers and multiple q, omega-power sums. Like before, the q, omega-module for the alphabet of q, omega-real numbers plays a crucial role, as well as the q, omega-rational numbers and the Ward-omega numbers. There are many more formulas of this type, and the deep symmetric structure of these formulas is described in detail.