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.

• $P_1$:
  $16384\cdot t^{14}-745472\cdot t^{12}+12300288\cdot t^{10}-92252160\cdot t^8+322882560\cdot t^6-484323840\cdot t^4+242161920\cdot t^2-17297280$
• $P_2$:
  $16384\cdot t^{37}-\frac{41208902093683936256}{9818924445075}\cdot t^{35}+\frac{4669335703183437814528}{9818924445075}\cdot t^{33}-\frac{2519092859986186363264}{79828654025}\cdot t^{31}+\frac{896014689585029193088448}{654594963005}\cdot t^{29}-\frac{26860851515386090303607968}{654594963005}\cdot t^{27}+\frac{573904804496339456729941968}{654594963005}\cdot t^{25}-\frac{8886030975334879131088744344}{654594963005}\cdot t^{23}+\frac{100430344383263970526477034316}{654594963005}\cdot t^{21}-\frac{165698194388786505894788542818}{130918992601}\cdot t^{19}+\frac{991175151168988506473167308663}{130918992601}\cdot t^{17}-\frac{8485030911728304861728778933417}{261837985202}\cdot t^{15}+\frac{50889935260842279141829487335137}{523675970404}\cdot t^{13}-\frac{207255404835193770890404032193731}{1047351940808}\cdot t^{11}+\frac{547450487221425378183604960263315}{2094703881616}\cdot t^9-\frac{875167210762521393283778693086605}{4189407763232}\cdot t^7+\frac{757713236737960257360759158450445}{8378815526464}\cdot t^5-\frac{291017635011143977483922074044345}{16757631052928}\cdot t^3+\frac{7867173324775652851201622899515}{8378815526464}\cdot t$

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.