Weighted Catalan convolution and $(q,2)$-Fock space
Combinatorics
2024-03-01 v1
Abstract
Motivated by the study of certain combinatorial properties of -Fock space, we compute explicitly a sequence driven by the Catalan's convolution and parameterized by . 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 -Fock space.
Cite
@article{arxiv.2402.19447,
title = {Weighted Catalan convolution and $(q,2)$-Fock space},
author = {Yungang Lu},
journal= {arXiv preprint arXiv:2402.19447},
year = {2024}
}