Rule: Q[1, 2, 28]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^3-3\cdot t$
• $P_3$:
  $t^{31}-\frac{56735685319}{94518463}\cdot t^{29}+\frac{14112617924629}{94518463}\cdot t^{27}-\frac{150371025565509}{7270651}\cdot t^{25}+\frac{13029636735701775}{7270651}\cdot t^{23}-\frac{747941195631912975}{7270651}\cdot t^{21}+\frac{29280397035306064725}{7270651}\cdot t^{19}-\frac{791066818602524997225}{7270651}\cdot t^{17}+\frac{14736541235109459883425}{7270651}\cdot t^{15}-\frac{186957709796386606163625}{7270651}\cdot t^{13}+\frac{1575515020428670206760875}{7270651}\cdot t^{11}-\frac{8463799522227624427227375}{7270651}\cdot t^9+\frac{27150071826935693461951125}{7270651}\cdot t^7-\frac{46698742063919906652817125}{7270651}\cdot t^5+\frac{35385482708586154410564375}{7270651}\cdot t^3-\frac{7482944217160189385251875}{7270651}\cdot t$

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.