The aim of the paper is to present some initial results about a possible generalization of moment sequences to a so-called q-calculus. A characterization of such a q-analogue in terms of appropriate positivity conditions is also investigated. Using the result due to Maserick and Szafraniec, we adapt a classical description of Hausdorff moment sequences in terms of positive definiteness and complete monotonicity to the q-situation. This makes a link between q-positive definiteness and q-complete monotonicity.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc78-0-15,
author = {Anna Kula},
title = {A moment sequence in the q-world},
journal = {Banach Center Publications},
volume = {75},
year = {2007},
pages = {201-210},
zbl = {1136.44002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc78-0-15}
}
Anna Kula. A moment sequence in the q-world. Banach Center Publications, Tome 75 (2007) pp. 201-210. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc78-0-15/