Rule: Q[36]

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.

• $P_1$:
  $t^{36}-630\cdot t^{34}+176715\cdot t^{32}-29216880\cdot t^{30}+3177335700\cdot t^{28}-240206578920\cdot t^{26}+13011189691500\cdot t^{24}-513012622122000\cdot t^{22}+14813239463772750\cdot t^{20}-312723944235202500\cdot t^{18}+4784676346798598250\cdot t^{16}-52196469237802890000\cdot t^{14}+395823225053338582500\cdot t^{12}-2009564065655411265000\cdot t^{10}+6459313068178107637500\cdot t^8-12057384393932467590000\cdot t^6+11303797869311688365625\cdot t^4-3989575718580595893750\cdot t^2+221643095476699771875$

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.