Rule: Q[8, 15]

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.

• $P_1$:
  $t^8-28\cdot t^6+210\cdot t^4-420\cdot t^2+105$
• $P_2$:
  $t^{23}-\frac{226513}{1105}\cdot t^{21}+\frac{19046601}{1105}\cdot t^{19}-\frac{858410581}{1105}\cdot t^{17}+\frac{4552011002}{221}\cdot t^{15}-\frac{73444706538}{221}\cdot t^{13}+\frac{55544111994}{17}\cdot t^{11}-\frac{324675714594}{17}\cdot t^9+\frac{1069116542109}{17}\cdot t^7-\frac{1796386301325}{17}\cdot t^5+\frac{1274070981645}{17}\cdot t^3-\frac{242579663865}{17}\cdot t$

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.