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

Published 24 Jun 2024 in cs.DM | (2406.16420v1)

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

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