Rule: Q[7, 12]

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.

• $P_1$:
  $t^7-21\cdot t^5+105\cdot t^3-105\cdot t$
• $P_2$:
  $t^{19}-\frac{2216}{17}\cdot t^{17}+\frac{225363}{34}\cdot t^{15}-\frac{5780055}{34}\cdot t^{13}+\frac{80911545}{34}\cdot t^{11}-\frac{626247765}{34}\cdot t^9+\frac{2593221345}{34}\cdot t^7-\frac{5249048805}{34}\cdot t^5+\frac{4234455225}{34}\cdot t^3-\frac{46621575}{2}\cdot t$

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.