Rule: Q[9, 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.

• $P_1$:
  $512\cdot t^9-9216\cdot t^7+48384\cdot t^5-80640\cdot t^3+30240\cdot t$
• $P_2$:
  $512\cdot t^{31}-\frac{6606242868992}{67229543}\cdot t^{29}+\frac{551608721062144}{67229543}\cdot t^{27}-\frac{26476866606751488}{67229543}\cdot t^{25}+\frac{5693787236934396000}{470606801}\cdot t^{23}-\frac{117976989669986502000}{470606801}\cdot t^{21}+\frac{12727192787802028800}{3538397}\cdot t^{19}-\frac{7515886426041133800}{208141}\cdot t^{17}+\frac{52702659478282339350}{208141}\cdot t^{15}-\frac{254758197265525366875}{208141}\cdot t^{13}+\frac{827120294353773795375}{208141}\cdot t^{11}-\frac{1728121173748337511000}{208141}\cdot t^9+\frac{17371983578865435716625}{1665128}\cdot t^7-\frac{23515937379179817697125}{3330256}\cdot t^5+\frac{3513690925793482809375}{1665128}\cdot t^3-\frac{1174073053720687745625}{6660512}\cdot t$

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.