Rule: Q[3, 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.

• $P_1$:
  $8\cdot t^3-12\cdot t$
• $P_2$:
  $8\cdot t^{31}-\frac{226942741276}{94518463}\cdot t^{29}+\frac{28225235849258}{94518463}\cdot t^{27}-\frac{150371025565509}{7270651}\cdot t^{25}+\frac{13029636735701775}{14541302}\cdot t^{23}-\frac{747941195631912975}{29082604}\cdot t^{21}+\frac{29280397035306064725}{58165208}\cdot t^{19}-\frac{791066818602524997225}{116330416}\cdot t^{17}+\frac{14736541235109459883425}{232660832}\cdot t^{15}-\frac{186957709796386606163625}{465321664}\cdot t^{13}+\frac{1575515020428670206760875}{930643328}\cdot t^{11}-\frac{8463799522227624427227375}{1861286656}\cdot t^9+\frac{27150071826935693461951125}{3722573312}\cdot t^7-\frac{46698742063919906652817125}{7445146624}\cdot t^5+\frac{35385482708586154410564375}{14890293248}\cdot t^3-\frac{7482944217160189385251875}{29780586496}\cdot t$

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.