Rule: Q[9, 20]

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.

• $P_1$:
  $512\cdot t^9-1024\cdot t^7+672\cdot t^5-160\cdot t^3+10\cdot t$
• $P_2$:
  $512\cdot t^{29}-3584\cdot t^{27}+11232\cdot t^{25}-20800\cdot t^{23}+25300\cdot t^{21}-21252\cdot t^{19}+\frac{100947}{8}\cdot t^{17}-\frac{10659}{2}\cdot t^{15}+\frac{101745}{64}\cdot t^{13}-\frac{20995}{64}\cdot t^{11}+\frac{46189}{1024}\cdot t^9-\frac{1989}{512}\cdot t^7+\frac{1547}{8192}\cdot t^5-\frac{35}{8192}\cdot t^3+\frac{15}{524288}\cdot t$

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.