Rule: Q[9, 22]

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.

• $P_1$:
  $t^9-36\cdot t^7+378\cdot t^5-1260\cdot t^3+945\cdot t$
• $P_2$:
  $t^{31}-\frac{25805636207}{67229543}\cdot t^{29}+\frac{4309443133298}{67229543}\cdot t^{27}-\frac{413701040730492}{67229543}\cdot t^{25}+\frac{177930851154199875}{470606801}\cdot t^{23}-\frac{7373561854374156375}{470606801}\cdot t^{21}+\frac{1590899098475253600}{3538397}\cdot t^{19}-\frac{1878971606510283450}{208141}\cdot t^{17}+\frac{26351329739141169675}{208141}\cdot t^{15}-\frac{254758197265525366875}{208141}\cdot t^{13}+\frac{1654240588707547590750}{208141}\cdot t^{11}-\frac{6912484694993350044000}{208141}\cdot t^9+\frac{17371983578865435716625}{208141}\cdot t^7-\frac{23515937379179817697125}{208141}\cdot t^5+\frac{14054763703173931237500}{208141}\cdot t^3-\frac{2348146107441375491250}{208141}\cdot t$

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.