A -analogue of Faulhaber's formula for sums of powers.
A -analogue of Graham, Hoffman and Hosoya's theorem.
A q-analogue of complete monotonicity
The aim of this paper is to give a q-analogue for complete monotonicity. We apply a classical characterization of Hausdorff moment sequences in terms of positive definiteness and complete monotonicity, adapted to the q-situation. The method due to Maserick and Szafraniec that does not need moments turns out to be useful. A definition of a q-moment sequence appears as a by-product.
A q-analogue of Lehmer's congruence
Advanced determinant calculus.
Algebraic integers as values of elliptic functions
An algorithmic proof theory for hypergeometric (ordinary and "q") multisum/integral indentities.
An observation on the extension of Abel's lemma.
Approach of -Derivative Operators to Terminating -Series Formulae
The -derivative operator approach is illustrated by reviewing several typical summation formulae of terminating basic hypergeometric series.
Approximants de Padé et -dérivation