Rule: Q[2, 39]

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.

• $P_1$:
  $4\cdot t^2-1$
• $P_2$:
  $4\cdot t^{41}-40\cdot t^{39}+\frac{741}{4}\cdot t^{37}-\frac{2109}{4}\cdot t^{35}+\frac{66045}{64}\cdot t^{33}-\frac{11781}{8}\cdot t^{31}+\frac{202895}{128}\cdot t^{29}-\frac{168113}{128}\cdot t^{27}+\frac{3471039}{4096}\cdot t^{25}-\frac{876525}{2048}\cdot t^{23}+\frac{44352165}{262144}\cdot t^{21}-\frac{13656825}{262144}\cdot t^{19}+\frac{51895935}{4194304}\cdot t^{17}-\frac{2340135}{1048576}\cdot t^{15}+\frac{5014575}{16777216}\cdot t^{13}-\frac{482885}{16777216}\cdot t^{11}+\frac{2042975}{1073741824}\cdot t^9-\frac{43263}{536870912}\cdot t^7+\frac{33649}{17179869184}\cdot t^5-\frac{385}{17179869184}\cdot t^3+\frac{21}{274877906944}\cdot t$

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.