Rule: Q[37]

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.

• $P_1$:
  $t^{37}-666\cdot t^{35}+198135\cdot t^{33}-34871760\cdot t^{31}+4053842100\cdot t^{29}-329171978520\cdot t^{27}+19256560743420\cdot t^{25}-825281174718000\cdot t^{23}+26099517150456750\cdot t^{21}-608988733510657500\cdot t^{19}+10413707343032243250\cdot t^{17}-128751290786580462000\cdot t^{15}+1126573794382579042500\cdot t^{13}-6759442766295474255000\cdot t^{11}+26554953724732220287500\cdot t^9-63731888939357328690000\cdot t^7+83648104232906493905625\cdot t^5-49204767195827349356250\cdot t^3+8200794532637891559375\cdot t$

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.