Rule: Q[2, 23]

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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^{25}-\frac{360669162859}{1301530587}\cdot t^{23}+\frac{41856212426677}{1301530587}\cdot t^{21}-\frac{126959252505635}{61977647}\cdot t^{19}+\frac{4890505818430320}{61977647}\cdot t^{17}-\frac{118415297709057030}{61977647}\cdot t^{15}+\frac{1816654650244163730}{61977647}\cdot t^{13}-\frac{17394463437889527990}{61977647}\cdot t^{11}+\frac{100005149957633466975}{61977647}\cdot t^9-\frac{321693455119105716075}{61977647}\cdot t^7+\frac{511069251856122884925}{61977647}\cdot t^5-\frac{315074770874657969175}{61977647}\cdot t^3+\frac{41385282742755601650}{61977647}\cdot t$

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.