Table 8 The eigenvalues \(\lambda _{k}\) of \(U_{n}\), \(n=9\), for the weight function of Example 10
From: On conjectures of Stenger in the theory of orthogonal polynomials
k | \(\lambda _{k}\) | k | \(\lambda _{k}\) |
|---|---|---|---|
1 | 0.269543881598 + 0.100451106056i | 6 | 0.113959909084 + 0.146440180631i |
2 | 0.269543881598 − 0.100451106056i | 7 | 0.113959909084 − 0.146440180631i |
3 | 0.257834699637 | 8 | −0.000421036373 + 0.156050111474i |
4 | 0.242999895873 + 0.190318565957i | 9 | −0.000421036373 − 0.156050111474i |
5 | 0.242999895873 − 0.190318565957i |