Yungang Lu

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math.CO2024

Some combinatorial aspects of (q,2)-Fock space

Yungang Lu

We introduce the (q,2)-Fock space over a given Hilbert space, calculate the explicit form of a product of the creation and annihilation operators acting on the vacuum vector, demon…

math.CO2024

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

Yungang Lu

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 $1 + q$ . A…

math.CO2024

The Catalan's triangle system, the Catalan's trapezoids and (q,2)--Fock space

Yungang Lu

We provide an explicit formulation for the solution to the Catalan's triangle system using Catalan's trapezoids and a specified boundary condition. Additionally, we study this syst…

Some combinatorial aspects of (q,2)-Fock space

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

The Catalan's triangle system, the Catalan's trapezoids and (q,2)--Fock space

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