Rule: Q[2, 5, 14]

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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^7-\frac{53}{3}\cdot t^5+\frac{215}{3}\cdot t^3-55\cdot t$
• $P_3$:
  $t^{21}-\frac{1344053141549}{8366928235}\cdot t^{19}+\frac{773543677465973}{75302354115}\cdot t^{17}-\frac{25560655085784887}{75302354115}\cdot t^{15}+\frac{31656511383228823}{5020156941}\cdot t^{13}-\frac{337895198928054677}{5020156941}\cdot t^{11}+\frac{2038824428463371549}{5020156941}\cdot t^9-\frac{2197769740799481849}{1673385647}\cdot t^7+\frac{3410065457904801696}{1673385647}\cdot t^5-\frac{1984501300650889020}{1673385647}\cdot t^3+\frac{195228095074592580}{1673385647}\cdot t$

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.