Rule: Q[6, 13]

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.

• $P_1$:
  $t^6-15\cdot t^4+45\cdot t^2-15$
• $P_2$:
  $t^{19}-\frac{751}{5}\cdot t^{17}+\frac{17731}{2}\cdot t^{15}-\frac{3720303}{14}\cdot t^{13}+\frac{61182771}{14}\cdot t^{11}-\frac{557745045}{14}\cdot t^9+\frac{2718773343}{14}\cdot t^7-\frac{925925715}{2}\cdot t^5+\frac{898474005}{2}\cdot t^3-\frac{227548035}{2}\cdot t$

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.