Displaying similar documents to “On the mean value of L(m,χ )L(n,χ̅) at positive integers m,n ≥ 1”

Multiplication formulas for q-Appell polynomials and the multiple q-power sums

Thomas Ernst (2016)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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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...