Rule: Q[6, 17]

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.

• $P_1$:
  $64\cdot t^6-480\cdot t^4+720\cdot t^2-120$
• $P_2$:
  $64\cdot t^{23}-\frac{3672356384}{563719}\cdot t^{21}+\frac{153536216816}{563719}\cdot t^{19}-\frac{37969183021304}{6200909}\cdot t^{17}+\frac{505394895435400}{6200909}\cdot t^{15}-\frac{318462785190060}{476993}\cdot t^{13}+\frac{1619167392847410}{476993}\cdot t^{11}-\frac{457558631596185}{43363}\cdot t^9+\frac{3331162062959535}{173452}\cdot t^7-\frac{6488419347243225}{346904}\cdot t^5+\frac{5608578115263375}{693808}\cdot t^3-\frac{1359793918644525}{1387616}\cdot t$

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.