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.

• $P_1$:
  $t$
• $P_2$:
  $t^{45}-990\cdot t^{43}+446985\cdot t^{41}-122175900\cdot t^{39}+22633085475\cdot t^{37}-3014726985270\cdot t^{35}+298960426039275\cdot t^{33}-22550157849819600\cdot t^{31}+1310727925020764250\cdot t^{29}-59128393062047809500\cdot t^{27}+2075406596477878113450\cdot t^{25}-56601998085760312185000\cdot t^{23}+1193358792974779915233750\cdot t^{21}-19277334348054137092237500\cdot t^{19}+235458869536946960198043750\cdot t^{17}-2134827083801652439128930000\cdot t^{15}+14009802737448344131783603125\cdot t^{13}-64280271383586520134065943750\cdot t^{11}+196411940338736589298534828125\cdot t^9-372148939589185116565644937500\cdot t^7+390756386568644372393927184375\cdot t^5-186074469794592558282822468750\cdot t^3+25373791335626257947657609375\cdot t$

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.