Rule: Q[2, 27]

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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^{29}-\frac{135166781181191}{354291154925}\cdot t^{27}+\frac{22199232532727016}{354291154925}\cdot t^{25}-\frac{82706779872620046}{14171646197}\cdot t^{23}+\frac{4846001823106500771}{14171646197}\cdot t^{21}-\frac{187353592409330912565}{14171646197}\cdot t^{19}+\frac{4878490585073380593318}{14171646197}\cdot t^{17}-\frac{85823844994484700611508}{14171646197}\cdot t^{15}+\frac{1008860831911511339755995}{14171646197}\cdot t^{13}-\frac{7724458718343561861211545}{14171646197}\cdot t^{11}+\frac{36880012913997139944957900}{14171646197}\cdot t^9-\frac{102356191234160802501552990}{14171646197}\cdot t^7+\frac{147024777175761007252494765}{14171646197}\cdot t^5-\frac{88404784378262007790209075}{14171646197}\cdot t^3+\frac{13652911352920914231106950}{14171646197}\cdot t$

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.