Rule: Q[4, 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.

• $P_1$:
  $16\cdot t^4-12\cdot t^2+1$
• $P_2$:
  $16\cdot t^{14}-52\cdot t^{12}+66\cdot t^{10}-\frac{165}{4}\cdot t^8+\frac{105}{8}\cdot t^6-\frac{63}{32}\cdot t^4+\frac{7}{64}\cdot t^2-\frac{1}{1024}$

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.