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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^7-\frac{53}{3}\cdot t^5+\frac{215}{3}\cdot t^3-55\cdot t$
• $P_3$:
  $t^{29}-\frac{21022351966409696216998921}{62741519522400017295207}\cdot t^{27}+\frac{27126479384965994403663951001}{564673675701600155656863}\cdot t^{25}-\frac{6577415154696184313923724680925}{1694021027104800466970589}\cdot t^{23}+\frac{332527742873227461296995751962700}{1694021027104800466970589}\cdot t^{21}-\frac{193657234134709054206107577943900}{29719667142189481876677}\cdot t^{19}+\frac{1438337311102224898650518497645150}{9906555714063160625559}\cdot t^{17}-\frac{21633969566245698142927540576370350}{9906555714063160625559}\cdot t^{15}+\frac{72701297992704924803482530628445125}{3302185238021053541853}\cdot t^{13}-\frac{481606320588024902675830554078824875}{3302185238021053541853}\cdot t^{11}+\frac{2021440768050378018265307747828842375}{3302185238021053541853}\cdot t^9-\frac{561048935798160356509022189881376625}{366909470891228171317}\cdot t^7+\frac{2238989837817935214554822951046125750}{1100728412673684513951}\cdot t^5-\frac{1278852524352549873095345655500071250}{1100728412673684513951}\cdot t^3+\frac{62582832853642520232008590827932500}{366909470891228171317}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Hermite (probabilists') type can be downloaded here packed into a single file.