Rule: Q[6, 11]

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.

• $P_1$:
  $64\cdot t^6-480\cdot t^4+720\cdot t^2-120$
• $P_2$:
  $64\cdot t^{17}-\frac{451040}{133}\cdot t^{15}+\frac{9066480}{133}\cdot t^{13}-\frac{88569480}{133}\cdot t^{11}+\frac{64076100}{19}\cdot t^9-\frac{1165407210}{133}\cdot t^7+\frac{206140275}{19}\cdot t^5-\frac{204491925}{38}\cdot t^3+\frac{13053150}{19}\cdot t$

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.