More expansion formulas for $q,\omega$--Apostol Bernoulli and Euler polynomials
Commun. Korean Math. Soc.
Published online December 18, 2019
Thomas Ernst
Uppsala University
Abstract : 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.
Keywords : $q,\omega$-special function
MSC numbers : Primary 33D99; Secondary 05A40
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