Rule: Q[1, 20]

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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^{21}-210\cdot t^{19}+\frac{17955}{2}\cdot t^{17}-203490\cdot t^{15}+\frac{10683225}{4}\cdot t^{13}-\frac{83329155}{4}\cdot t^{11}+\frac{1527701175}{16}\cdot t^9-\frac{1964187225}{8}\cdot t^7+\frac{41247931725}{128}\cdot t^5-\frac{22915517625}{128}\cdot t^3+\frac{13749310575}{512}\cdot t$

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.