Rule: Q[3, 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.

• $P_1$:
  $t^3-3\cdot t$
• $P_2$:
  $t^{23}-\frac{108850387}{466119}\cdot t^{21}+\frac{3492043345}{155373}\cdot t^{19}-\frac{60312139755}{51791}\cdot t^{17}+\frac{1845365502470}{51791}\cdot t^{15}-\frac{34442483318670}{51791}\cdot t^{13}+\frac{391719784111110}{51791}\cdot t^{11}-\frac{2637542954196150}{51791}\cdot t^9+\frac{9887794220979675}{51791}\cdot t^7-\frac{18448838678845575}{51791}\cdot t^5+\frac{13826157508738575}{51791}\cdot t^3-\frac{2510039001444975}{51791}\cdot t$

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.