Rule: Q[2, 21]

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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^{23}-\frac{27477332587}{118894837}\cdot t^{21}+\frac{2611798498365}{118894837}\cdot t^{19}-\frac{7015431225285}{6257623}\cdot t^{17}+\frac{210645876486150}{6257623}\cdot t^{15}-\frac{3838108917564810}{6257623}\cdot t^{13}+\frac{42284507575966110}{6257623}\cdot t^{11}-\frac{272435422471061850}{6257623}\cdot t^9+\frac{956859427232183475}{6257623}\cdot t^7-\frac{1604772057804040125}{6257623}\cdot t^5+\frac{976872118732985475}{6257623}\cdot t^3-\frac{95174230816890225}{6257623}\cdot t$

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.