Rule: Q[6, 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.

• $P_1$:
  $64\cdot t^6-480\cdot t^4+720\cdot t^2-120$
• $P_2$:
  $64\cdot t^{20}-\frac{25283728}{5315}\cdot t^{18}+\frac{147937112}{1063}\cdot t^{16}-\frac{2201429754}{1063}\cdot t^{14}+\frac{18003002199}{1063}\cdot t^{12}-\frac{163469220915}{2126}\cdot t^{10}+\frac{794720043117}{4252}\cdot t^8-\frac{1891476081495}{8504}\cdot t^6+\frac{1837014244065}{17008}\cdot t^4-\frac{476939117655}{34016}\cdot t^2+\frac{4347968625}{68032}$

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.