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arXiv · 2402.19447

Weighted Catalan convolution and $(q,2)$-Fock space

Yungang Lu
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Abstract

Motivated by the study of certain combinatorial properties of $(q,2)$-Fock space, we compute explicitly a sequence driven by the Catalan's convolution and parameterized by $1+q$. As an application of this explicit form, we calculate the number of pair partitions involved in the determination of the vacuum--moments of the field operator defined on the $(q,2)$-Fock space.

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Yungang Lu. 2024-02-29. Weighted Catalan convolution and $(q,2)$-Fock space. https://arxiv.org/abs/2402.19447

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