Rule: Q[4, 24]

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.

• $P_1$:
  $t^4-6\cdot t^2+3$
• $P_2$:
  $t^{28}-\frac{315380934097038}{940591458163}\cdot t^{26}+\frac{225635843749451103}{4702957290815}\cdot t^{24}-\frac{18128200349712379428}{4702957290815}\cdot t^{22}+\frac{129391622233848350937}{671851041545}\cdot t^{20}-\frac{841772302235177573502}{134370208309}\cdot t^{18}+\frac{18151565083369290986589}{134370208309}\cdot t^{16}-\frac{259460751737770268544936}{134370208309}\cdot t^{14}+\frac{2421145352144795671180071}{134370208309}\cdot t^{12}-\frac{14291882694026581173413598}{134370208309}\cdot t^{10}+\frac{50642106190589588949311895}{134370208309}\cdot t^8-\frac{98976687913569908032931340}{134370208309}\cdot t^6+\frac{92394431884730763772119135}{134370208309}\cdot t^4-\frac{30994472409733934741850210}{134370208309}\cdot t^2+\frac{1582471480254088007038455}{134370208309}$

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.