Rule: Q[2, 33]

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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^{35}-\frac{1513580741956537679}{2646128196800447}\cdot t^{33}+\frac{383516814599637679752}{2646128196800447}\cdot t^{31}-\frac{1837241566613747061240}{85358974090337}\cdot t^{29}+\frac{178325254613274530957580}{85358974090337}\cdot t^{27}-\frac{11945968413110812210990860}{85358974090337}\cdot t^{25}+\frac{568675197618487617437980200}{85358974090337}\cdot t^{23}-\frac{19519021367014708564940514600}{85358974090337}\cdot t^{21}+\frac{485218028027732072615093301750}{85358974090337}\cdot t^{19}-\frac{8703173158255232862609463809750}{85358974090337}\cdot t^{17}+\frac{6549763027186845076425723909000}{5021116122961}\cdot t^{15}-\frac{58580335492345264144564278261000}{5021116122961}\cdot t^{13}+\frac{355161337213668273455648656675500}{5021116122961}\cdot t^{11}-\frac{1394252088845390626803047904307500}{5021116122961}\cdot t^9+\frac{3306596194924299149700376363815000}{5021116122961}\cdot t^7-\frac{4239161825944631362670081363175000}{5021116122961}\cdot t^5+\frac{2405680611872027447349772385630625}{5021116122961}\cdot t^3-\frac{381509132210940051711307750460625}{5021116122961}\cdot t$

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.