In the first article on q-analogues of two Appell polynomials, the generalized Apostol-Bernoulli and Apostol-Euler polynomials, focus was on generalizations, symmetries, and complementary argument theorems. In this second article, we focus on a recent paper by Luo, and one paper on power sums by Wang and Wang. Most of the proofs are made by using generating functions, and the (multiple) q-addition plays a fundamental role. The introduction of the q-rational numbers in formulas with q-additions enables natural q-extension of vector forms of Raabes multiplication formulas. As special cases, new formulas for q-Bernoulli and q-Euler polynomials are obtained.
@article{bwmeta1.element.ojs-doi-10_17951_a_2016_70_1_1,
author = {Thomas Ernst},
title = {Multiplication formulas for q-Appell polynomials and the multiple q-power sums},
journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
volume = {70},
year = {2016},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2016_70_1_1}
}
Thomas Ernst. Multiplication formulas for q-Appell polynomials and the multiple q-power sums. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 70 (2016) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2016_70_1_1/
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