Rule: Q[9, 10]

Type

Polynomials

One starts from the polynomial $P_1$ and extends one by one with $P_{\mathrm{i}}$ until the final polynomial defining this rule is reached.
Note: Polynomials might be truncated due to size! The complete polynomials are included in the download.

• $P_1$:
  $512\cdot t^9-1024\cdot t^7+672\cdot t^5-160\cdot t^3+10\cdot t$
• $P_2$:
  $512\cdot t^{19}-2304\cdot t^{17}+4352\cdot t^{15}-4480\cdot t^{13}+2730\cdot t^{11}-1001\cdot t^9+\frac{429}{2}\cdot t^7-\frac{99}{4}\cdot t^5+\frac{165}{128}\cdot t^3-\frac{5}{256}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Chebyshev U (second kind) type can be downloaded here packed into a single file.