Rule: Q[10, 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.

• $P_1$:
  $t^{10}-45\cdot t^8+630\cdot t^6-3150\cdot t^4+4725\cdot t^2-945$
• $P_2$:
  $t^{31}-\frac{19104435}{55417}\cdot t^{29}+\frac{2832167295}{55417}\cdot t^{27}-\frac{21673129909995}{5042947}\cdot t^{25}+\frac{1149124583361375}{5042947}\cdot t^{23}-\frac{63516635808019065}{7924631}\cdot t^{21}+\frac{1520109287771433525}{7924631}\cdot t^{19}-\frac{25009941631077915075}{7924631}\cdot t^{17}+\frac{282820165145501559525}{7924631}\cdot t^{15}-\frac{2177738168992190382375}{7924631}\cdot t^{13}+\frac{861410447564587098975}{609587}\cdot t^{11}-\frac{260064800171087659875}{55417}\cdot t^9+\frac{527154492894880323375}{55417}\cdot t^7-\frac{590725613789628526125}{55417}\cdot t^5+\frac{302310908444829335625}{55417}\cdot t^3-\frac{44538274723888425375}{55417}\cdot t$

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.