Rule: Q[6, 9]

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.

• $P_1$:
  $64\cdot t^6-480\cdot t^4+720\cdot t^2-120$
• $P_2$:
  $64\cdot t^{15}-\frac{443040}{191}\cdot t^{13}+\frac{5766480}{191}\cdot t^{11}-\frac{34180440}{191}\cdot t^9+\frac{97309620}{191}\cdot t^7-\frac{129077550}{191}\cdot t^5+\frac{68923575}{191}\cdot t^3-\frac{18129825}{382}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Hermite (physicists') type can be downloaded here packed into a single file.