论文标题
多个正交多项式，$ d $ - 正交多项式，生产矩阵和分支的持续分数
Multiple orthogonal polynomials, $d$-orthogonal polynomials, production matrices, and branched continued fractions
论文作者
论文摘要
我分析了多个正交多项式，$ d $ - 正交多项式，生产矩阵和分支持续分数之间的意外联系。这项工作可以看作是Viennot的正交多项式组合理论的部分扩展，即生产矩阵较低，但不一定是Tridiagonal。
I analyze an unexpected connection between multiple orthogonal polynomials, $d$-orthogonal polynomials, production matrices and branched continued fractions. This work can be viewed as a partial extension of Viennot's combinatorial theory of orthogonal polynomials to the case where the production matrix is lower-Hessenberg but is not necessarily tridiagonal.
