Rule: Q[2, 29]

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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^{31}-\frac{3818583499171213}{8675427718359}\cdot t^{29}+\frac{731427901189014673}{8675427718359}\cdot t^{27}-\frac{2979961192200516797}{321312137717}\cdot t^{25}+\frac{209280110943647750825}{321312137717}\cdot t^{23}-\frac{9870194503096191138875}{321312137717}\cdot t^{21}+\frac{320278538735533213010175}{321312137717}\cdot t^{19}-\frac{379414632680613946491075}{16911165143}\cdot t^{17}+\frac{5899723735921362524902725}{16911165143}\cdot t^{15}-\frac{62409651689843359527000375}{16911165143}\cdot t^{13}+\frac{436715706392712418855057875}{16911165143}\cdot t^{11}-\frac{1933180648023233166997564125}{16911165143}\cdot t^9+\frac{5048348292248712719159516625}{16911165143}\cdot t^7-\frac{6941557496075557283373319875}{16911165143}\cdot t^5+\frac{4091493448392391333261344375}{16911165143}\cdot t^3-\frac{644946308489019778536920625}{16911165143}\cdot t$

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.