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arXiv · 2406.16420

Local Limit Theorems for $q$-Multinomial and Multiple Heine Distributions

Malvina Vamvakari
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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.

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Malvina Vamvakari. 2024-06-24. Local Limit Theorems for $q$-Multinomial and Multiple Heine Distributions. https://doi.org/10.4204/eptcs.403.37

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