Rule: Q[8, 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.

• $P_1$:
  $256\cdot t^8-3584\cdot t^6+13440\cdot t^4-13440\cdot t^2+1680$
• $P_2$:
  $256\cdot t^{25}-\frac{57961984}{1227}\cdot t^{23}+\frac{43901474176}{13497}\cdot t^{21}-\frac{2589874028672}{22495}\cdot t^{19}+\frac{159395985942704}{67485}\cdot t^{17}-\frac{399280258325312}{13497}\cdot t^{15}+\frac{1035470869257328}{4499}\cdot t^{13}-\frac{4970997877854736}{4499}\cdot t^{11}+\frac{1300482287966407}{409}\cdot t^9-\frac{2120024548296018}{409}\cdot t^7+\frac{3540844411735995}{818}\cdot t^5-\frac{1251668089579635}{818}\cdot t^3+\frac{952148658919185}{6544}\cdot t$

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.