Rule: Q[4, 30]

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.

• $P_1$:
  $16\cdot t^4-12\cdot t^2+1$
• $P_2$:
  $16\cdot t^{34}-132\cdot t^{32}+496\cdot t^{30}-\frac{4495}{4}\cdot t^{28}+\frac{27405}{16}\cdot t^{26}-\frac{118755}{64}\cdot t^{24}+\frac{94185}{64}\cdot t^{22}-\frac{444015}{512}\cdot t^{20}+\frac{1562275}{4096}\cdot t^{18}-\frac{2042975}{16384}\cdot t^{16}+\frac{245157}{8192}\cdot t^{14}-\frac{676039}{131072}\cdot t^{12}+\frac{323323}{524288}\cdot t^{10}-\frac{101745}{2097152}\cdot t^8+\frac{4845}{2097152}\cdot t^6-\frac{969}{16777216}\cdot t^4+\frac{153}{268435456}\cdot t^2-\frac{1}{1073741824}$

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.