标题： 多重q-Kravchuk多项式 显示英文标题

标题： Multiple q-Kravchuk polynomials

摘要： 我们研究了一类II型多重正交多项式。 我们考虑相对于一个向量测度的正交条件，其中每个分量是二项分布的q-模拟。 得到了这些多项式的降算子和升算子以及Rodrigues公式。 研究了r+1阶的差分方程。 讨论了四种类型的Kravchuk多项式之间的极限关系。 显示英文摘要

摘要： We study a family of type II multiple orthogonal polynomials. We consider orthogonality conditions with respect to a vector measure, in which each component is a q-analogue of the binomial distribution. The lowering and raising operators as well as the Rodrigues formula for these polynomials are obtained. The difference equation of order r+1 is studied. The connection via limit relation between four types of Kravchuk polynomials is discussed.