Rule: Q[21, 22]

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.

• $P_1$:
  $2097152\cdot t^{21}-10485760\cdot t^{19}+22413312\cdot t^{17}-26738688\cdot t^{15}+19496960\cdot t^{13}-8945664\cdot t^{11}+2562560\cdot t^9-439296\cdot t^7+41184\cdot t^5-1760\cdot t^3+22\cdot t$
• $P_2$:
  $2097152\cdot t^{43}-22020096\cdot t^{41}+107479040\cdot t^{39}-323747840\cdot t^{37}+673800192\cdot t^{35}-1027977216\cdot t^{33}+1190289408\cdot t^{31}-1068503040\cdot t^{29}+753146240\cdot t^{27}-419610048\cdot t^{25}+185122080\cdot t^{23}-64512240\cdot t^{21}+\frac{141120525}{8}\cdot t^{19}-\frac{59879925}{16}\cdot t^{17}+\frac{9694845}{16}\cdot t^{15}-\frac{2340135}{32}\cdot t^{13}+\frac{13037895}{2048}\cdot t^{11}-\frac{1562275}{4096}\cdot t^9+\frac{120175}{8192}\cdot t^7-\frac{5313}{16384}\cdot t^5+\frac{1771}{524288}\cdot t^3-\frac{11}{1048576}\cdot t$

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.