Rule: Q[7, 14]

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.

• $P_1$:
  $t^7-21\cdot t^5+105\cdot t^3-105\cdot t$
• $P_2$:
  $t^{21}-\frac{1757}{10}\cdot t^{19}+\frac{372883}{30}\cdot t^{17}-\frac{9208843}{20}\cdot t^{15}+\frac{38960831}{4}\cdot t^{13}-\frac{482270789}{4}\cdot t^{11}+\frac{3448558113}{4}\cdot t^9-\frac{13584319749}{4}\cdot t^7+\frac{26812306521}{4}\cdot t^5-\frac{22041464445}{4}\cdot t^3+\frac{4851751905}{4}\cdot t$

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.