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.

• $P_1$:
  $4\cdot t^2-2$
• $P_2$:
  $4\cdot t^{27}-\frac{19495424675482}{29790013241}\cdot t^{25}+\frac{1355869504183650}{29790013241}\cdot t^{23}-\frac{2290900622461275}{1295217967}\cdot t^{21}+\frac{220084251161515125}{5180871868}\cdot t^{19}-\frac{6827138644189196025}{10361743736}\cdot t^{17}+\frac{34721910092375923725}{5180871868}\cdot t^{15}-\frac{461350518015196049625}{10361743736}\cdot t^{13}+\frac{15673023001145376491625}{82893949888}\cdot t^{11}-\frac{81603963220377320848125}{165787899776}\cdot t^9+\frac{121371014580759213645375}{165787899776}\cdot t^7-\frac{182995709332874931367875}{331575799552}\cdot t^5+\frac{223805196837470455081875}{1326303198208}\cdot t^3-\frac{32911741104649851819375}{2652606396416}\cdot t$

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.