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math.QA2023★ 3 cited
Generalized Heisenberg-Virasoro algebra and matrix models from quantum algebra
Fridolin Melong, Raimar Wulkenhaar
In this paper, we construct the Heisenberg-Virasoro algebra in the framework of the -deformed quantum algebras. Moreover, the -Heisenberg-Witt $…
math.QA2022
-multivariate discrete probability distributions
Fridolin Melong
We construct the multivariate probability distributions (Pólya, inverse Pólya, hypergeometric and negative hypergeometric) from the generalized quantum algebra. Moreover, we derive…
math.QA2022
-trinomial probability distribution: properties and particular cases
Fridolin Melong
In this paper, we investigate the trinomial probability distribution of the first and second kind from the -quantum algebras. Moreover, we compute their $\mathcal…