Rule: Q[39]

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.

• $P_1$:
  $t^{39}-741\cdot t^{37}+246753\cdot t^{35}-48939345\cdot t^{33}+6459993540\cdot t^{31}-600779399220\cdot t^{29}+40652739347220\cdot t^{27}-2038444501553460\cdot t^{25}+76441668808254750\cdot t^{23}-2148860245387605750\cdot t^{21}+45126065153139720750\cdot t^{19}-701505194653353840750\cdot t^{17}+7950392206071343528500\cdot t^{15}-64214706279807005422500\cdot t^{13}+357767649273210458782500\cdot t^{11}-1311814714001771682202500\cdot t^9+2951583106503986284955625\cdot t^7-3646073249210806587298125\cdot t^5+2025596249561559215165625\cdot t^3-319830986772877770815625\cdot t$

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.