Rule: Q[11, 24]

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.

• $P_1$:
  $t^{11}-55\cdot t^9+990\cdot t^7-6930\cdot t^5+17325\cdot t^3-10395\cdot t$
• $P_2$:
  $t^{35}-\frac{3045220283195}{6375988649}\cdot t^{33}+\frac{10921197973238520}{108391807033}\cdot t^{31}-\frac{1347263793394475440}{108391807033}\cdot t^{29}+\frac{108463139171927466850}{108391807033}\cdot t^{27}-\frac{42160094663885815481370}{758742649231}\cdot t^{25}+\frac{1664240022870912941305500}{758742649231}\cdot t^{23}-\frac{47433691561892141816293500}{758742649231}\cdot t^{21}+\frac{140210800055051143455873000}{108391807033}\cdot t^{19}-\frac{123536736743033421435375000}{6375988649}\cdot t^{17}+\frac{1324950390092310724935918000}{6375988649}\cdot t^{15}-\frac{9976214721250138701452805000}{6375988649}\cdot t^{13}+\frac{51137118328905336063301143750}{6375988649}\cdot t^{11}-\frac{170424746859450337714139501250}{6375988649}\cdot t^9+\frac{344442918933918651569950012500}{6375988649}\cdot t^7-\frac{377632866662011882348349422500}{6375988649}\cdot t^5+\frac{183753985071314266047398334375}{6375988649}\cdot t^3-\frac{24982862807499147415342603125}{6375988649}\cdot t$

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.