Local Limit Theorems for $q$-Multinomial and Multiple Heine Distributions
<|reference_start|>Local Limit Theorems for $q$-Multinomial and Multiple Heine Distributions: 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.<|reference_end|>
@article{vamvakari2024local,
    title={Local Limit Theorems for $q$-Multinomial and Multiple Heine
  Distributions},
    author={Malvina Vamvakari (Dept. Informatics and Telematics, Harokopio
  University of Athens, Greece)},
    journal={EPTCS 403, 2024, pp. 196-202},
    year={2024},
    doi={10.4204/EPTCS.403.37},
    archivePrefix={arXiv},
    eprint={2406.16420},
    primaryClass={cs.DM}
}