Rule: Q[2, 3, 28]

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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^5-7\cdot t^3+6\cdot t$
• $P_3$:
  $t^{33}-\frac{349246284179083625724887063}{731920585313098339748759}\cdot t^{31}+\frac{657240022528862881909056388207}{6587285267817885057738831}\cdot t^{29}-\frac{79573517733554730166815688400197}{6587285267817885057738831}\cdot t^{27}+\frac{53086809779399742747204235893153}{56301583485622949211443}\cdot t^{25}-\frac{2815792603462840072802797930921575}{56301583485622949211443}\cdot t^{23}+\frac{104259628011825322249806556571921775}{56301583485622949211443}\cdot t^{21}-\frac{2726722453179241400708773447915895325}{56301583485622949211443}\cdot t^{19}+\frac{50418890049627922435926888445784835075}{56301583485622949211443}\cdot t^{17}-\frac{653738087220368272409176338360331953225}{56301583485622949211443}\cdot t^{15}+\frac{5841037283776106711891660906763634025625}{56301583485622949211443}\cdot t^{13}-\frac{34959311577941753940030323657853442891875}{56301583485622949211443}\cdot t^{11}+\frac{134277521292479385225611437351493801302875}{56301583485622949211443}\cdot t^9-\frac{310086668501896173612636021864409855324125}{56301583485622949211443}\cdot t^7+\frac{387657021039988449995973810264977526241125}{56301583485622949211443}\cdot t^5-\frac{216899480153462061317271227602400628579375}{56301583485622949211443}\cdot t^3+\frac{34775825040432273294844140776560629108750}{56301583485622949211443}\cdot t$

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.