Discrete entropies of orthogonal polynomials
Let $p_n$ be the $n$-th orthonormal polynomial on the real line, whose zeros are $\lambda_j^{(n)}$, $j=1, ..., n$. Then for each $j=1, ..., n$, $$ \vec \Psi_j^2 = (\Psi_{1j}^2, ..., \Psi_{nj}^2) $$ with $$ \Psi_{ij}^2= p_{i-1}^2 (\lambda_j^{(n)}) (\sum_{k=0}^{n-1} p_k^2(\lambda_j^{(n)}))^{-1}, \quad...
| Main Authors: | , , , |
|---|---|
| 格式: | info:eu-repo/semantics/article |
| 语言: | English |
| 出版: |
2012
|
| 主题: | |
| 在线阅读: | http://hdl.handle.net/10835/1630 |