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.

• $P_1$:
  $t^6-15\cdot t^4+45\cdot t^2-15$
• $P_2$:
  $t^{17}-\frac{14095}{133}\cdot t^{15}+\frac{566655}{133}\cdot t^{13}-\frac{11071185}{133}\cdot t^{11}+\frac{16019025}{19}\cdot t^9-\frac{582703605}{133}\cdot t^7+\frac{206140275}{19}\cdot t^5-\frac{204491925}{19}\cdot t^3+\frac{52212600}{19}\cdot t$

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.