Rule: Q[7, 20]

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.

• $P_1$:
  $t^7-21\cdot t^5+105\cdot t^3-105\cdot t$
• $P_2$:
  $t^{27}-\frac{1301488437}{4381822}\cdot t^{25}+\frac{329506387725}{8763644}\cdot t^{23}-\frac{163952800339575}{61345508}\cdot t^{21}+\frac{1037180455957125}{8763644}\cdot t^{19}-\frac{30017405619954675}{8763644}\cdot t^{17}+\frac{289699766277482025}{4381822}\cdot t^{15}-\frac{3735739069226884125}{4381822}\cdot t^{13}+\frac{31703548135043932875}{4381822}\cdot t^{11}-\frac{85537131923390647500}{2190911}\cdot t^9+\frac{1103512337933439344625}{8763644}\cdot t^7-\frac{1910682259733299177125}{8763644}\cdot t^5+\frac{1454477359576101485625}{8763644}\cdot t^3-\frac{306293411468461291875}{8763644}\cdot t$

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.