Rule: Q[1, 30]

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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^{31}-465\cdot t^{29}+\frac{94395}{2}\cdot t^{27}-\frac{11044215}{4}\cdot t^{25}+\frac{828316125}{8}\cdot t^{23}-\frac{41912795925}{16}\cdot t^{21}+\frac{1466947857375}{32}\cdot t^{19}-\frac{35835440515875}{64}\cdot t^{17}+\frac{609202488769875}{128}\cdot t^{15}-\frac{7107362368981875}{256}\cdot t^{13}+\frac{55437426478058625}{512}\cdot t^{11}-\frac{277187132390293125}{1024}\cdot t^9+\frac{831561397170879375}{2048}\cdot t^7-\frac{1343291487737574375}{4096}\cdot t^5+\frac{959493919812553125}{8192}\cdot t^3-\frac{191898783962510625}{16384}\cdot t$

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.