Turan, MehmetOstrovska, SofiyaTuran, MehmetOstrovska, SofiyaMathematics2024-07-052024-07-05201930167-71521879-210310.1016/j.spl.2018.11.0132-s2.0-85057343388https://doi.org/10.1016/j.spl.2018.11.013https://hdl.handle.net/20.500.14411/2768Turan, Mehmet/0000-0002-1718-3902The Stieltjes classes play a significant role in the moment problem allowing to exhibit explicitly infinite families of probability densities with the same sequence of moments. In this paper, the notion of q-moment determinacy/indeterminacy is proposed and some conditions for a distribution to be either q-moment determinate or indeterminate in terms of its q-density have been obtained. Also, a q-analogue of Stieltjes classes is defined for q-distributions and q-Stieltjes classes have been constructed for a family of q-densities of q-moment indeterminate distributions. (C) 2018 Elsevier B.V. All rights reserved.eninfo:eu-repo/semantics/closedAccessq-distributionq-momentq-moment (in)determinacyq-Stieltjes classAnalytic functionq-densityArticleQ4146118123WOS:000456906900017