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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm111-2-1,
author = {Anna Kula},
title = {A q-analogue of complete monotonicity},
journal = {Colloquium Mathematicae},
volume = {111},
year = {2008},
pages = {169-181},
zbl = {1143.44001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm111-2-1}
}
Anna Kula. A q-analogue of complete monotonicity. Colloquium Mathematicae, Tome 111 (2008) pp. 169-181. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm111-2-1/