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.

• $P_1$:
  $4\cdot t^2-2$
• $P_2$:
  $4\cdot t^{23}-\frac{54954665174}{118894837}\cdot t^{21}+\frac{2611798498365}{118894837}\cdot t^{19}-\frac{7015431225285}{12515246}\cdot t^{17}+\frac{105322938243075}{12515246}\cdot t^{15}-\frac{1919054458782405}{25030492}\cdot t^{13}+\frac{21142253787983055}{50060984}\cdot t^{11}-\frac{136217711235530925}{100121968}\cdot t^9+\frac{956859427232183475}{400487872}\cdot t^7-\frac{1604772057804040125}{800975744}\cdot t^5+\frac{976872118732985475}{1601951488}\cdot t^3-\frac{95174230816890225}{3203902976}\cdot t$

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.