Rule: Q[1, 44]

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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^{45}-990\cdot t^{43}+\frac{446985}{2}\cdot t^{41}-30543975\cdot t^{39}+\frac{22633085475}{8}\cdot t^{37}-\frac{1507363492635}{8}\cdot t^{35}+\frac{298960426039275}{32}\cdot t^{33}-\frac{1409384865613725}{4}\cdot t^{31}+\frac{655363962510382125}{64}\cdot t^{29}-\frac{14782098265511952375}{64}\cdot t^{27}+\frac{1037703298238939056725}{256}\cdot t^{25}-\frac{7075249760720039023125}{128}\cdot t^{23}+\frac{596679396487389957616875}{1024}\cdot t^{21}-\frac{4819333587013534273059375}{1024}\cdot t^{19}+\frac{117729434768473480099021875}{4096}\cdot t^{17}-\frac{133426692737603277445558125}{1024}\cdot t^{15}+\frac{14009802737448344131783603125}{32768}\cdot t^{13}-\frac{32140135691793260067032971875}{32768}\cdot t^{11}+\frac{196411940338736589298534828125}{131072}\cdot t^9-\frac{93037234897296279141411234375}{65536}\cdot t^7+\frac{390756386568644372393927184375}{524288}\cdot t^5-\frac{93037234897296279141411234375}{524288}\cdot t^3+\frac{25373791335626257947657609375}{2097152}\cdot t$

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.