Rule: Q[2, 35]

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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^{37}-\frac{19712375748735295193}{30432767569864143}\cdot t^{35}+\frac{5699067168042468666530}{30432767569864143}\cdot t^{33}-\frac{29513080271126330736760}{922205077874671}\cdot t^{31}+\frac{3328369518850541323048100}{922205077874671}\cdot t^{29}-\frac{261938488642030911873365420}{922205077874671}\cdot t^{27}+\frac{14836382282673775296440669520}{922205077874671}\cdot t^{25}-\frac{614972699133803239212405513000}{922205077874671}\cdot t^{23}+\frac{18788426519231991576615955544250}{922205077874671}\cdot t^{21}-\frac{422994633328340633306590357263750}{922205077874671}\cdot t^{19}+\frac{6969834278655685020015623956264500}{922205077874671}\cdot t^{17}-\frac{82916236775087031693313016477397000}{922205077874671}\cdot t^{15}+\frac{697024798873089857013105742176742500}{922205077874671}\cdot t^{13}-\frac{4011195155785009120258335541057567500}{922205077874671}\cdot t^{11}+\frac{15086663107730810743863715328429100000}{922205077874671}\cdot t^9-\frac{34596142876849234150967241332202615000}{922205077874671}\cdot t^7+\frac{43291886262377185803118305212480199375}{922205077874671}\cdot t^5-\frac{24221373528758677519465944809673215625}{922205077874671}\cdot t^3+\frac{3829488601510031153241755602000856250}{922205077874671}\cdot t$

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.