论文标题
在晶格上的经典正交多项式和某些表征定理上
On classical orthogonal polynomials on lattices and some characterization theorems
论文作者
论文摘要
在本章中，对于经典正交多项式理论中出现的函数方程的解决方案的规律性给出了必要和充分的条件。此外，我们还提出了功能性的Rodrigues公式和复发系数的封闭公式。我们最终使用这些结果来解决有关表征定理的一些有趣的研究问题。
In this chapter are given necessary and sufficient conditions for the regularity of solutions of the functional equation appearing in the theory of classical orthogonal polynomials. In addition, we also present the functional Rodrigues formula and a closed formula for the recurrence coefficients. We finally used these results to solve some interesting research problems concerning characterization theorems.
