Rule: Q[5, 8, 14]

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.

• $P_1$:
  $t^5-10\cdot t^3+15\cdot t$
• $P_2$:
  $t^{13}-\frac{170}{3}\cdot t^{11}+\frac{3251}{3}\cdot t^9-8652\cdot t^7+29631\cdot t^5-41790\cdot t^3+19215\cdot t$
• $P_3$:
  $t^{27}-\frac{90241522318027534903}{375814988811315009}\cdot t^{25}+\frac{27380734788980366551220}{1127444966433945027}\cdot t^{23}-\frac{1534816087842443410443152}{1127444966433945027}\cdot t^{21}+\frac{17606211387194407209146089}{375814988811315009}\cdot t^{19}-\frac{389462550966169308065806627}{375814988811315009}\cdot t^{17}+\frac{5637850523975265918167980792}{375814988811315009}\cdot t^{15}-\frac{17789116633714730956551281200}{125271662937105003}\cdot t^{13}+\frac{9842432068968480385513453435}{11388332994282273}\cdot t^{11}-\frac{37213821308029265617366690405}{11388332994282273}\cdot t^9+\frac{27512798187638179150922749380}{3796110998094091}\cdot t^7-\frac{32601173250838664085191148480}{3796110998094091}\cdot t^5+\frac{17551931606509521536927327625}{3796110998094091}\cdot t^3-\frac{2989529438334911095439436075}{3796110998094091}\cdot t$

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.