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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^{22}-\frac{1181590807}{5060457}\cdot t^{20}+\frac{113450524465}{5060457}\cdot t^{18}-\frac{649682892835}{562273}\cdot t^{16}+\frac{19694384411050}{562273}\cdot t^{14}-\frac{362148733074310}{562273}\cdot t^{12}+\frac{4024456368542610}{562273}\cdot t^{10}-\frac{26133921471007350}{562273}\cdot t^8+\frac{92387182004842725}{562273}\cdot t^6-\frac{155509398101932875}{562273}\cdot t^4+\frac{94224095717476725}{562273}\cdot t^2-\frac{8649322961253975}{562273}$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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