Rule: Q[5, 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.

• $P_1$:
  $t^5-10\cdot t^3+15\cdot t$
• $P_2$:
  $t^{15}-\frac{1805}{21}\cdot t^{13}+\frac{169685}{63}\cdot t^{11}-\frac{2447225}{63}\cdot t^9+268675\cdot t^7-846835\cdot t^5+1039225\cdot t^3-327525\cdot t$

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.