Rule: Q[14, 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.

• $P_1$:
  $t^{14}-91\cdot t^{12}+3003\cdot t^{10}-45045\cdot t^8+315315\cdot t^6-945945\cdot t^4+945945\cdot t^2-135135$
• $P_2$:
  $t^{37}-\frac{40243068450863219}{78551395560600}\cdot t^{35}+\frac{18239592590560303963}{157102791121200}\cdot t^{33}-\frac{19680412968642080963}{1277258464400}\cdot t^{31}+\frac{14000229524766081142007}{10473519408080}\cdot t^{29}-\frac{839401609855815321987749}{10473519408080}\cdot t^{27}+\frac{35869050281021216045621373}{10473519408080}\cdot t^{25}-\frac{1110753871916859891386093043}{10473519408080}\cdot t^{23}+\frac{25107586095815992631619258579}{10473519408080}\cdot t^{21}-\frac{82849097194393252947394271409}{2094703881616}\cdot t^{19}+\frac{991175151168988506473167308663}{2094703881616}\cdot t^{17}-\frac{8485030911728304861728778933417}{2094703881616}\cdot t^{15}+\frac{50889935260842279141829487335137}{2094703881616}\cdot t^{13}-\frac{207255404835193770890404032193731}{2094703881616}\cdot t^{11}+\frac{547450487221425378183604960263315}{2094703881616}\cdot t^9-\frac{875167210762521393283778693086605}{2094703881616}\cdot t^7+\frac{757713236737960257360759158450445}{2094703881616}\cdot t^5-\frac{291017635011143977483922074044345}{2094703881616}\cdot t^3+\frac{7867173324775652851201622899515}{523675970404}\cdot t$

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.