Rule: Q[2, 5, 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.

• $P_1$:
  $4\cdot t^2-2$
• $P_2$:
  $4\cdot t^7-\frac{106}{3}\cdot t^5+\frac{215}{3}\cdot t^3-\frac{55}{2}\cdot t$
• $P_3$:
  $4\cdot t^{29}-\frac{42044703932819392433997842}{62741519522400017295207}\cdot t^{27}+\frac{27126479384965994403663951001}{564673675701600155656863}\cdot t^{25}-\frac{6577415154696184313923724680925}{3388042054209600933941178}\cdot t^{23}+\frac{83131935718306865324248937990675}{1694021027104800466970589}\cdot t^{21}-\frac{48414308533677263551526894485975}{59439334284378963753354}\cdot t^{19}+\frac{719168655551112449325259248822575}{79252445712505285004472}\cdot t^{17}-\frac{10816984783122849071463770288185175}{158504891425010570008944}\cdot t^{15}+\frac{72701297992704924803482530628445125}{211339855233347426678592}\cdot t^{13}-\frac{481606320588024902675830554078824875}{422679710466694853357184}\cdot t^{11}+\frac{2021440768050378018265307747828842375}{845359420933389706714368}\cdot t^9-\frac{561048935798160356509022189881376625}{187857649096308823714304}\cdot t^7+\frac{1119494918908967607277411475523062875}{563572947288926471142912}\cdot t^5-\frac{639426262176274936547672827750035625}{1127145894577852942285824}\cdot t^3+\frac{15645708213410630058002147706983125}{375715298192617647428608}\cdot t$

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.