Rule: Q[1, 6, 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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^7-21\cdot t^5+\frac{105}{2}\cdot t^3-\frac{105}{4}\cdot t$
• $P_3$:
  $2\cdot t^{27}-\frac{1301488437}{4381822}\cdot t^{25}+\frac{329506387725}{17527288}\cdot t^{23}-\frac{163952800339575}{245382032}\cdot t^{21}+\frac{1037180455957125}{70109152}\cdot t^{19}-\frac{30017405619954675}{140218304}\cdot t^{17}+\frac{289699766277482025}{140218304}\cdot t^{15}-\frac{3735739069226884125}{280436608}\cdot t^{13}+\frac{31703548135043932875}{560873216}\cdot t^{11}-\frac{21384282980847661875}{140218304}\cdot t^9+\frac{1103512337933439344625}{4486985728}\cdot t^7-\frac{1910682259733299177125}{8973971456}\cdot t^5+\frac{1454477359576101485625}{17947942912}\cdot t^3-\frac{306293411468461291875}{35895885824}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Hermite (physicists') type can be downloaded here packed into a single file.