Rule: Q[2, 25]

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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^{27}-\frac{9747712337741}{29790013241}\cdot t^{25}+\frac{1355869504183650}{29790013241}\cdot t^{23}-\frac{4581801244922550}{1295217967}\cdot t^{21}+\frac{220084251161515125}{1295217967}\cdot t^{19}-\frac{6827138644189196025}{1295217967}\cdot t^{17}+\frac{138887640369503694900}{1295217967}\cdot t^{15}-\frac{1845402072060784198500}{1295217967}\cdot t^{13}+\frac{15673023001145376491625}{1295217967}\cdot t^{11}-\frac{81603963220377320848125}{1295217967}\cdot t^9+\frac{242742029161518427290750}{1295217967}\cdot t^7-\frac{365991418665749862735750}{1295217967}\cdot t^5+\frac{223805196837470455081875}{1295217967}\cdot t^3-\frac{32911741104649851819375}{1295217967}\cdot t$

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.