涉及正交多项式的反演公式及其某些应用
经典分析与常微分方程
2007-05-23 v1
摘要
我们推导了涉及正交多项式的反演公式，可用于求某些经典正交多项式推广所满足的微分方程的系数。作为例子，我们考虑 Hermite 多项式的特殊对称推广。
关键词
引用
@article{arxiv.math/9908163,
title = {Inversion formulas involving orthogonal polynomials and some of their applications},
author = {Roelof Koekoek},
journal= {arXiv preprint arXiv:math/9908163},
year = {2007}
}
备注
15 pages, submitted for publication in the Proceedings of the International Workshop on Special Functions (Asymptotics, Harmonic Analysis and Mathematical Physics), City University of Hong Kong, Kowloon, Hong Kong, June 21-25, 1999