Rule: Q[14, 27]

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.

• $P_1$:
  $t^{14}-91\cdot t^{12}+3003\cdot t^{10}-45045\cdot t^8+315315\cdot t^6-945945\cdot t^4+945945\cdot t^2-135135$
• $P_2$:
  $t^{41}-\frac{4323994738212539}{6845664706949}\cdot t^{39}+\frac{1228519320558843027}{6845664706949}\cdot t^{37}-\frac{3540580200522975524265}{116376300018133}\cdot t^{35}+\frac{400636132471695576726270}{116376300018133}\cdot t^{33}-\frac{32071358662280840375182710}{116376300018133}\cdot t^{31}+\frac{1878295059482117385353754510}{116376300018133}\cdot t^{29}-\frac{82096140018504718491771916530}{116376300018133}\cdot t^{27}+\frac{2707545681116873811578909645100}{116376300018133}\cdot t^{25}-\frac{67682246916053926559654274523500}{116376300018133}\cdot t^{23}+\frac{1281233972292943607401984279258500}{116376300018133}\cdot t^{21}-\frac{18258809979211548880994249908018500}{116376300018133}\cdot t^{19}+\frac{10196447405734954630911435984443250}{6125068422007}\cdot t^{17}-\frac{4658753837512530382719609665898750}{360298142471}\cdot t^{15}+\frac{25857379310690612805160944767613750}{360298142471}\cdot t^{13}-\frac{99131995705762311497148515668346250}{360298142471}\cdot t^{11}+\frac{250171989009815071109581148446093125}{360298142471}\cdot t^9-\frac{387102673445832242270583356912641875}{360298142471}\cdot t^7+\frac{328315813068551392733492615368471875}{360298142471}\cdot t^5-\frac{124941691518537213865102901408690625}{360298142471}\cdot t^3+\frac{13467889289545593399134664338812500}{360298142471}\cdot t$

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.