Rule: Q[1, 22]

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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^{23}-253\cdot t^{21}+\frac{26565}{2}\cdot t^{19}-\frac{1514205}{4}\cdot t^{17}+\frac{25741485}{4}\cdot t^{15}-\frac{540571185}{8}\cdot t^{13}+\frac{7027425405}{16}\cdot t^{11}-\frac{55215485325}{32}\cdot t^9+\frac{496939367925}{128}\cdot t^7-\frac{1159525191825}{256}\cdot t^5+\frac{1159525191825}{512}\cdot t^3-\frac{316234143225}{1024}\cdot t$

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.