Rule: Q[1, 18]

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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^{19}-171\cdot t^{17}+5814\cdot t^{15}-101745\cdot t^{13}+\frac{3968055}{4}\cdot t^{11}-\frac{43648605}{8}\cdot t^9+\frac{130945815}{8}\cdot t^7-\frac{392837445}{16}\cdot t^5+\frac{1964187225}{128}\cdot t^3-\frac{654729075}{256}\cdot t$

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.