In this study, a new family of discrete multiple orthogonal polynomials, namely, ω-multiple Meixner polynomials of the second kind, where ω is a positive real number which is introduced. Some structural properties for these polynomials such as raising operator, Rodrigue's type formula and explicit representation are obtained. Generating function for ω-multiple Meixner polynomials of the second kind and several consequences using this generating function for these polynomials are derived. A lowering operator for ω-multiple Meixner polynomials of the second kind which will be helpful for obtaining difference equation is derived. By combining the lowering operator and the raising operator the difference equation having the ω-multiple Meixner polynomials of the second kind as a solution is obtained. A third-order explicit difference equation for ω-multiple Meixner polynomials of the second kind is given as a corollary. It is proven that when $\omega =1$, the obtained results coincide with the existing results for multiple Meixner polynomials of the second kind. In the last section, the case when $\omega =5/3$ is studied and for the 5/3-multiple Meixner polynomials of the second kind the explicit form, generating function and the third-order difference equation is given.

在这项研究中，引入了一个新的离散多重正交多项式族，即ω - 第二类多重 Meixner 多项式，其中ω是一个正实数。得到了这些多项式的一些结构性质，如升算符、罗德里格类型公式和显式表示。对于生成函数ω利用这些多项式此生成函数的第二类-multiple Meixner多项式和一些后果的。推导了ω-第二类Meixner多项式的降算子，有助于求出差分方程。通过组合降低算子和提高算子，差分方程具有ω - 多个第二类梅克斯纳多项式作为解得到。作为推论，给出了ω - 第二类Meixner多项式的三阶显式差分方程。证明当$\omega =1$，获得的结果与第二类多个梅克斯纳多项式的现有结果一致。在最后一节中，当$\omega =5/3$ 研究了第二类5/3-多重Meixner多项式的显式、生成函数和三阶差分方程。