论文标题
通过广义特征值问题的光谱转化，特殊的Laurent Biorthonal多项式多项式
Exceptional Laurent biorthogonal polynomials through spectral transformations of generalized eigenvalue problems
论文作者
论文摘要
通过二阶差异操作员的分解，给出了对广义特征值问题的光谱转换的公式。这使我们能够在多项式序列的程度上构建一些具有差距的Laurent Biorthoconal多项式系统。这些对应于正交多项式的特殊型延伸，作为Laurent Biorthoconal多项式的延伸。具体而言，我们构建了Hendriksen-Van Rossum多项式的特殊扩展，它们是经典正交多项式的生物表定类似物。与经典正交多项式的特殊扩展的情况相似，情况都发生了。
A formulation is given for the spectral transformation of the generalized eigenvalue problem through the decomposition of the second-order differential operators. This allows us to construct some Laurent biorthogonal polynomial systems with gaps in the degree of the polynomial sequence. These correspond to an exceptional-type extension of the orthogonal polynomials, as an extension of the Laurent biorthogonal polynomials. Specifically, we construct the exceptional extension of the Hendriksen-van Rossum polynomials, which are biorthogonal analogs of the classical orthogonal polynomials. Similar to the cases of exceptional extensions of classical orthogonal polynomials, both of state-deletion and state-addition occur.
