论文标题
使用特定的光谱转换从准内核多项式中恢复正交性
Recovering orthogonality from Quasi-type Kernel Polynomials using specific spectral transformations
论文作者
论文摘要
在这项工作中，引入了准内核多项式相对于时刻功能的概念。讨论了这些多项式满足的差异方程以及正交条件的标准。提供了恢复正交性的正交性，用于将准内核多项式与另一个正交多项式的线性组合进行线性组合，该过程通过涉及线性光谱转换来识别。该过程涉及迭代核多项式的比率表达。这导致考虑了涉及持续分数的内核多项式比率的限制情况。表现出某些持续分数的特殊情况。
In this work, the concept of quasi-type Kernel polynomials with respect to a moment functional is introduced. Difference equation satisfied by these polynomials along with the criterion for orthogonality conditions are discussed. The process of recovering orthogonality for the linear combination of a quasi-type kernel polynomial with another orthogonal polynomial, which is identified by involving linear spectral transformation, is provided. This process involves an expression of ratio of iterated kernel polynomials. This lead to considering the limiting case of ratio of kernel polynomials involving continued fractions. Special cases of such ratios in terms of certain continued fractions are exhibited.
