Rule: Q[1, 36]

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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^{37}-666\cdot t^{35}+\frac{198135}{2}\cdot t^{33}-8717940\cdot t^{31}+\frac{1013460525}{2}\cdot t^{29}-\frac{41146497315}{2}\cdot t^{27}+\frac{4814140185855}{8}\cdot t^{25}-\frac{51580073419875}{4}\cdot t^{23}+\frac{13049758575228375}{64}\cdot t^{21}-\frac{152247183377664375}{64}\cdot t^{19}+\frac{5206853671516121625}{256}\cdot t^{17}-\frac{8046955674161278875}{64}\cdot t^{15}+\frac{281643448595644760625}{512}\cdot t^{13}-\frac{844930345786934281875}{512}\cdot t^{11}+\frac{6638738431183055071875}{2048}\cdot t^9-\frac{3983243058709833043125}{1024}\cdot t^7+\frac{83648104232906493905625}{32768}\cdot t^5-\frac{24602383597913674678125}{32768}\cdot t^3+\frac{8200794532637891559375}{131072}\cdot t$

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.