Rule: Q[1, 50]

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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^{51}-1275\cdot t^{49}+374850\cdot t^{47}-67535475\cdot t^{45}+\frac{33430060125}{4}\cdot t^{43}-\frac{6037468858575}{8}\cdot t^{41}+\frac{412560372002625}{8}\cdot t^{39}-\frac{43672462236277875}{16}\cdot t^{37}+\frac{14542929924680532375}{128}\cdot t^{35}-\frac{961449256131657418125}{256}\cdot t^{33}+\frac{6345565090468938959625}{64}\cdot t^{31}-\frac{268244342460732419656875}{128}\cdot t^{29}+\frac{18151200506509560396781875}{512}\cdot t^{27}-\frac{490082413675758130713110625}{1024}\cdot t^{25}+\frac{5250883003668837114783328125}{1024}\cdot t^{23}-\frac{88564893328547719336012134375}{2048}\cdot t^{21}+\frac{9299313799497510530281274109375}{32768}\cdot t^{19}-\frac{93540156453769076510476345453125}{65536}\cdot t^{17}+\frac{176686962190452700075344208078125}{32768}\cdot t^{15}-\frac{976427948947238605679533781484375}{65536}\cdot t^{13}+\frac{7616138001788461124300363495578125}{262144}\cdot t^{11}-\frac{19947028099922160087453332964609375}{524288}\cdot t^9+\frac{16320295718118130980643636061953125}{524288}\cdot t^7-\frac{14901139568716554373631145969609375}{1048576}\cdot t^5+\frac{24835232614527590622718576616015625}{8388608}\cdot t^3-\frac{2980227913743310874726229193921875}{16777216}\cdot t$

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.