Rule: Q[2, 18]

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.

• $P_1$:
  $4\cdot t^2-1$
• $P_2$:
  $4\cdot t^{20}-19\cdot t^{18}+\frac{153}{4}\cdot t^{16}-\frac{85}{2}\cdot t^{14}+\frac{455}{16}\cdot t^{12}-\frac{3003}{256}\cdot t^{10}+\frac{3003}{1024}\cdot t^8-\frac{429}{1024}\cdot t^6+\frac{495}{16384}\cdot t^4-\frac{55}{65536}\cdot t^2+\frac{1}{262144}$

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.