Rule: Q[2, 3, 32]

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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^5-7\cdot t^3+6\cdot t$
• $P_3$:
  $t^{37}-\frac{5838868489726800548162130892271}{9511418586279068934499135305}\cdot t^{35}+\frac{27148807455524723480269219927847854}{161694115966744171886485300185}\cdot t^{33}-\frac{1460415960564888543072060967999384984}{53898038655581390628828433395}\cdot t^{31}+\frac{31050118696979860103472693184372718596}{10779607731116278125765686679}\cdot t^{29}-\frac{2299366076322995373368198292959736712012}{10779607731116278125765686679}\cdot t^{27}+\frac{40782467823535332947605619052715068548208}{3593202577038759375255228893}\cdot t^{25}-\frac{1585681969307514856654967974634415883578360}{3593202577038759375255228893}\cdot t^{23}+\frac{45388163228101436135565129900437300029254030}{3593202577038759375255228893}\cdot t^{21}-\frac{956613511331894420037651441725786882613265650}{3593202577038759375255228893}\cdot t^{19}+\frac{14753371466749477473003689986636966467991542300}{3593202577038759375255228893}\cdot t^{17}-\frac{9669613379588888501214572967020010936426514200}{211364857472868198544425229}\cdot t^{15}+\frac{76269020763925355107272892979912008918455552300}{211364857472868198544425229}\cdot t^{13}-\frac{413188813377659229231575903549812248641064660900}{211364857472868198544425229}\cdot t^{11}+\frac{1470773734613613343876209962705458126816873716000}{211364857472868198544425229}\cdot t^9-\frac{3216877628323432252284145548219631413192575877000}{211364857472868198544425229}\cdot t^7+\frac{3880855434973401355479390754977145967959486078125}{211364857472868198544425229}\cdot t^5-\frac{2122969357311512709576123853728724890532848778875}{211364857472868198544425229}\cdot t^3+\frac{333993069072844665051274551090522085064149644750}{211364857472868198544425229}\cdot t$

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.