Rule: Q[2, 23]

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.

• $P_1$:
  $4\cdot t^2-2$
• $P_2$:
  $4\cdot t^{25}-\frac{721338325718}{1301530587}\cdot t^{23}+\frac{41856212426677}{1301530587}\cdot t^{21}-\frac{126959252505635}{123955294}\cdot t^{19}+\frac{1222626454607580}{61977647}\cdot t^{17}-\frac{59207648854528515}{247910588}\cdot t^{15}+\frac{908327325122081865}{495821176}\cdot t^{13}-\frac{8697231718944763995}{991642352}\cdot t^{11}+\frac{100005149957633466975}{3966569408}\cdot t^9-\frac{321693455119105716075}{7933138816}\cdot t^7+\frac{511069251856122884925}{15866277632}\cdot t^5-\frac{315074770874657969175}{31732555264}\cdot t^3+\frac{20692641371377800825}{31732555264}\cdot t$

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.