Rule: Q[2, 5, 18]

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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^7-\frac{53}{3}\cdot t^5+\frac{215}{3}\cdot t^3-55\cdot t$
• $P_3$:
  $t^{25}-\frac{1242923240142407407}{3917479702543341}\cdot t^{23}+\frac{32172829350933064699091}{795248379616298223}\cdot t^{21}-\frac{727510583935616176487947}{265082793205432741}\cdot t^{19}+\frac{29097112278728987208581862}{265082793205432741}\cdot t^{17}-\frac{65066653631891050825905186}{24098435745948431}\cdot t^{15}+\frac{1562920144916143931410675950}{37868970457918963}\cdot t^{13}-\frac{14655353173121149933438272330}{37868970457918963}\cdot t^{11}+\frac{7396791576953884479287819685}{3442633677992633}\cdot t^9-\frac{22826622339241546445089698735}{3442633677992633}\cdot t^7+\frac{35276920329102940997326533105}{3442633677992633}\cdot t^5-\frac{22803484244302509213359763675}{3442633677992633}\cdot t^3+\frac{4155542523529489788081714900}{3442633677992633}\cdot t$

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.