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.

• $P_1$:
  $4\cdot t^2-2$
• $P_2$:
  $4\cdot t^{29}-\frac{270333562362382}{354291154925}\cdot t^{27}+\frac{22199232532727016}{354291154925}\cdot t^{25}-\frac{41353389936310023}{14171646197}\cdot t^{23}+\frac{4846001823106500771}{56686584788}\cdot t^{21}-\frac{187353592409330912565}{113373169576}\cdot t^{19}+\frac{2439245292536690296659}{113373169576}\cdot t^{17}-\frac{21455961248621175152877}{113373169576}\cdot t^{15}+\frac{1008860831911511339755995}{906985356608}\cdot t^{13}-\frac{7724458718343561861211545}{1813970713216}\cdot t^{11}+\frac{9220003228499284986239475}{906985356608}\cdot t^9-\frac{51178095617080401250776495}{3627941426432}\cdot t^7+\frac{147024777175761007252494765}{14511765705728}\cdot t^5-\frac{88404784378262007790209075}{29023531411456}\cdot t^3+\frac{6826455676460457115553475}{29023531411456}\cdot t$

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.