Rule: Q[4, 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.

• $P_1$:
  $16\cdot t^4-48\cdot t^2+12$
• $P_2$:
  $16\cdot t^{15}-\frac{2564}{3}\cdot t^{13}+\frac{116464}{7}\cdot t^{11}-\frac{1045605}{7}\cdot t^9+\frac{4515555}{7}\cdot t^7-\frac{5082165}{4}\cdot t^5+\frac{1931985}{2}\cdot t^3-\frac{2916045}{16}\cdot t$

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.