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.

• $P_1$:
  $4\cdot t^2-2$
• $P_2$:
  $4\cdot t^{33}-\frac{108486669455500322}{107745194932861}\cdot t^{31}+\frac{11996350518445808505}{107745194932861}\cdot t^{29}-\frac{53111919992551954695}{7430703098818}\cdot t^{27}+\frac{4408636421389309466175}{14861406197636}\cdot t^{25}-\frac{249402111805931094471825}{29722812395272}\cdot t^{23}+\frac{9879061282851902684367825}{59445624790544}\cdot t^{21}-\frac{277250005536611326555210875}{118891249581088}\cdot t^{19}+\frac{5517489689061351613884397125}{237782499162176}\cdot t^{17}-\frac{77199047703306501408950889375}{475564998324352}\cdot t^{15}+\frac{745738304438368740184977666375}{951129996648704}\cdot t^{13}-\frac{4828105038488863528629612505125}{1902259993297408}\cdot t^{11}+\frac{20021134625234264956426340473125}{3804519986594816}\cdot t^9-\frac{49606489358938814972216188516875}{7609039973189632}\cdot t^7+\frac{65654755018151036636108382046875}{15218079946379264}\cdot t^5-\frac{37933183998595900542594987545625}{30436159892758528}\cdot t^3+\frac{3009049811102291561979786286875}{30436159892758528}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Hermite (physicists') type can be downloaded here packed into a single file.