Rule: Q[1, 26]

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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^{27}-351\cdot t^{25}+26325\cdot t^{23}-\frac{2220075}{2}\cdot t^{21}+\frac{233107875}{8}\cdot t^{19}-\frac{7972289325}{16}\cdot t^{17}+\frac{45176306175}{8}\cdot t^{15}-\frac{677644592625}{16}\cdot t^{13}+\frac{26428139112375}{128}\cdot t^{11}-\frac{161505294575625}{256}\cdot t^9+\frac{290709530236125}{256}\cdot t^7-\frac{554990921359875}{512}\cdot t^5+\frac{924984868933125}{2048}\cdot t^3-\frac{213458046676875}{4096}\cdot t$

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.