Rule: Q[8, 17]

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.

• $P_1$:
  $t^8-28\cdot t^6+210\cdot t^4-420\cdot t^2+105$
• $P_2$:
  $t^{25}-\frac{452828}{1227}\cdot t^{23}+\frac{685960534}{13497}\cdot t^{21}-\frac{80933563396}{22495}\cdot t^{19}+\frac{9962249121419}{67485}\cdot t^{17}-\frac{49910032290664}{13497}\cdot t^{15}+\frac{258867717314332}{4499}\cdot t^{13}-\frac{2485498938927368}{4499}\cdot t^{11}+\frac{1300482287966407}{409}\cdot t^9-\frac{4240049096592036}{409}\cdot t^7+\frac{7081688823471990}{409}\cdot t^5-\frac{5006672358318540}{409}\cdot t^3+\frac{952148658919185}{409}\cdot t$

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.