Rule: Q[14, 21]

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.

• $P_1$:
  $t^{14}-91\cdot t^{12}+3003\cdot t^{10}-45045\cdot t^8+315315\cdot t^6-945945\cdot t^4+945945\cdot t^2-135135$
• $P_2$:
  $t^{35}-\frac{4763482648539713}{11262409137338}\cdot t^{33}+\frac{884488674740708499}{11262409137338}\cdot t^{31}-\frac{95399140335561263355}{11262409137338}\cdot t^{29}+\frac{6666387640870705193985}{11262409137338}\cdot t^{27}-\frac{318790013393155641990345}{11262409137338}\cdot t^{25}+\frac{10745324191545249395291895}{11262409137338}\cdot t^{23}-\frac{259152660541990078383916935}{11262409137338}\cdot t^{21}+\frac{4494632869085547087601819425}{11262409137338}\cdot t^{19}-\frac{55885524417005774309174715975}{11262409137338}\cdot t^{17}+\frac{492824432895525786367033670025}{11262409137338}\cdot t^{15}-\frac{3023536076434530384798724679025}{11262409137338}\cdot t^{13}+\frac{12526366530787745400662573751075}{11262409137338}\cdot t^{11}-\frac{33523359691647467115337968979875}{11262409137338}\cdot t^9+\frac{54218777654213764582818516814125}{11262409137338}\cdot t^7-\frac{47677020587632395731353659202125}{11262409137338}\cdot t^5+\frac{18784825074919843024745829794625}{11262409137338}\cdot t^3-\frac{1028588791130251771826595939750}{5631204568669}\cdot t$

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.