Rule: Q[2, 31]

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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^{33}-\frac{54243334727750161}{107745194932861}\cdot t^{31}+\frac{11996350518445808505}{107745194932861}\cdot t^{29}-\frac{53111919992551954695}{3715351549409}\cdot t^{27}+\frac{4408636421389309466175}{3715351549409}\cdot t^{25}-\frac{249402111805931094471825}{3715351549409}\cdot t^{23}+\frac{9879061282851902684367825}{3715351549409}\cdot t^{21}-\frac{277250005536611326555210875}{3715351549409}\cdot t^{19}+\frac{5517489689061351613884397125}{3715351549409}\cdot t^{17}-\frac{77199047703306501408950889375}{3715351549409}\cdot t^{15}+\frac{745738304438368740184977666375}{3715351549409}\cdot t^{13}-\frac{4828105038488863528629612505125}{3715351549409}\cdot t^{11}+\frac{20021134625234264956426340473125}{3715351549409}\cdot t^9-\frac{49606489358938814972216188516875}{3715351549409}\cdot t^7+\frac{65654755018151036636108382046875}{3715351549409}\cdot t^5-\frac{37933183998595900542594987545625}{3715351549409}\cdot t^3+\frac{6018099622204583123959572573750}{3715351549409}\cdot t$

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.