Rule: Q[1, 52]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{53}-1378\cdot t^{51}+878475\cdot t^{49}-344362200\cdot t^{47}+93063884550\cdot t^{45}-18426649140900\cdot t^{43}+2773210695705450\cdot t^{41}-324861824354067000\cdot t^{39}+30090326480795455875\cdot t^{37}-2226684159578863734750\cdot t^{35}+132487707494942392217625\cdot t^{33}-6359409959757234826446000\cdot t^{31}+246427135940592849524782500\cdot t^{29}-7696109014760053608235515000\cdot t^{27}+192952447441484201177904697500\cdot t^{25}-3859048948829684023558093950000\cdot t^{23}+61021211503369378622512360584375\cdot t^{21}-753791436218092324160446807218750\cdot t^{19}+7161018644071877079524244668578125\cdot t^{17}-51257817662830278042910382890875000\cdot t^{15}+269103542729858959725279510177093750\cdot t^{13}-999527444425190421836752466372062500\cdot t^{11}+2498818611062976054591881165930156250\cdot t^9-3911194347750745128926422694499375000\cdot t^7+3422295054281901987810619857686953125\cdot t^5-1368918021712760795124247943074781250\cdot t^3+157952079428395476360490147277859375\cdot t$

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.