Rule: Q[2, 24]

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.

• $P_1$:
  $4\cdot t^2-1$
• $P_2$:
  $4\cdot t^{26}-25\cdot t^{24}+69\cdot t^{22}-\frac{1771}{16}\cdot t^{20}+\frac{7315}{64}\cdot t^{18}-\frac{20349}{256}\cdot t^{16}+\frac{4845}{128}\cdot t^{14}-\frac{12597}{1024}\cdot t^{12}+\frac{21879}{8192}\cdot t^{10}-\frac{12155}{32768}\cdot t^8+\frac{1001}{32768}\cdot t^6-\frac{1365}{1048576}\cdot t^4+\frac{91}{4194304}\cdot t^2-\frac{1}{16777216}$

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.