Rule: Q[2, 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.

• $P_1$:
  $4\cdot t^2-2$
• $P_2$:
  $4\cdot t^{22}-\frac{2363181614}{5060457}\cdot t^{20}+\frac{113450524465}{5060457}\cdot t^{18}-\frac{649682892835}{1124546}\cdot t^{16}+\frac{9847192205525}{1124546}\cdot t^{14}-\frac{181074366537155}{2249092}\cdot t^{12}+\frac{2012228184271305}{4498184}\cdot t^{10}-\frac{13066960735503675}{8996368}\cdot t^8+\frac{92387182004842725}{35985472}\cdot t^6-\frac{155509398101932875}{71970944}\cdot t^4+\frac{94224095717476725}{143941888}\cdot t^2-\frac{8649322961253975}{287883776}$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Hermite (physicists') type can be downloaded here packed into a single file.