Local Limit Theorems for $q$-Multinomial and Multiple Heine Distributions
Discrete Mathematics
2024-06-25 v1
Abstract
In this work we establish local limit theorems for q-multinomial and multiple Heine distributions. Specifically, the pointwise convergence of the q-multinomial distribution of the first kind, as well as for its discrete limit, the multiple Heine distribution, to a multivariate Stieltjes-Wigert type distribution, are provided.
Cite
@article{arxiv.2406.16420,
title = {Local Limit Theorems for $q$-Multinomial and Multiple Heine Distributions},
author = {Malvina Vamvakari},
journal= {arXiv preprint arXiv:2406.16420},
year = {2024}
}
Comments
In Proceedings GASCom 2024, arXiv:2406.14588