Rule: Q[1, 4, 30]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^5-10\cdot t^3+15\cdot t$
• $P_3$:
  $t^{35}-\frac{2291709715957115785}{4256846092236523}\cdot t^{33}+\frac{7080462885558564186870}{55338999199074799}\cdot t^{31}-\frac{982482289382644169101350}{55338999199074799}\cdot t^{29}+\frac{88724146976670368549907150}{55338999199074799}\cdot t^{27}-\frac{423359817264248763032780310}{4256846092236523}\cdot t^{25}+\frac{18562340679065679383714751750}{4256846092236523}\cdot t^{23}-\frac{583293998601280424398520175750}{4256846092236523}\cdot t^{21}+\frac{13184471563532944171852867627500}{4256846092236523}\cdot t^{19}-\frac{213370627380219685780015685535000}{4256846092236523}\cdot t^{17}+\frac{2441402433574709976499459337102250}{4256846092236523}\cdot t^{15}-\frac{19334825576449849998768590802236250}{4256846092236523}\cdot t^{13}+\frac{102641342431588479205756847954426250}{4256846092236523}\cdot t^{11}-\frac{348500528849487133851920866534106250}{4256846092236523}\cdot t^9+\frac{705738316648098565549741666974581250}{4256846092236523}\cdot t^7-\frac{763601818459438997611235480800001250}{4256846092236523}\cdot t^5+\frac{363316518321535437119816600393465625}{4256846092236523}\cdot t^3-\frac{48655971603572547475483629402909375}{4256846092236523}\cdot t$

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.