Rule: Q[49]

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.

• $P_1$:
  $t^{49}-1176\cdot t^{47}+635628\cdot t^{45}-209757240\cdot t^{43}+47352696930\cdot t^{41}-7765842296520\cdot t^{39}+959081523620220\cdot t^{37}-91249756390152360\cdot t^{35}+6786700631517581775\cdot t^{33}-398153103715698130800\cdot t^{31}+18514119322779963082200\cdot t^{29}-683339313186242273761200\cdot t^{27}+19987674910697586507515100\cdot t^{25}-461254036400713534788810000\cdot t^{23}+8335519372098608878683495000\cdot t^{21}-116697271209380524301568930000\cdot t^{19}+1247202086050254353473017939375\cdot t^{17}-9977616688402034827784143515000\cdot t^{15}+58202764015678536495407503837500\cdot t^{13}-238937662801206623507462384175000\cdot t^{11}+657078572703318214645521556481250\cdot t^9-1126420410348545510820894096825000\cdot t^7+1075219482605429805783580728787500\cdot t^5-467486731567578176427643795125000\cdot t^3+58435841445947272053455474390625\cdot t$

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.