Rule: Q[1, 4, 10]

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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^5-10\cdot t^3+\frac{15}{2}\cdot t$
• $P_3$:
  $2\cdot t^{15}-\frac{1805}{21}\cdot t^{13}+\frac{169685}{126}\cdot t^{11}-\frac{2447225}{252}\cdot t^9+\frac{268675}{8}\cdot t^7-\frac{846835}{16}\cdot t^5+\frac{1039225}{32}\cdot t^3-\frac{327525}{64}\cdot t$

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.