Rule: Q[38]

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.

• $P_1$:
  $t^{38}-703\cdot t^{36}+221445\cdot t^{34}-41410215\cdot t^{32}+5134866660\cdot t^{30}-446733399420\cdot t^{28}+28144204163460\cdot t^{26}-1306695193303500\cdot t^{24}+45080984168970750\cdot t^{22}-1157078593670249250\cdot t^{20}+21984493279734735750\cdot t^{18}-305784315618128597250\cdot t^{16}+3057843156181285972500\cdot t^{14}-21404902093269001807500\cdot t^{12}+100908824153982437092500\cdot t^{10}-302726472461947311277500\cdot t^8+529771326808407794735625\cdot t^6-467445288360359818884375\cdot t^4+155815096120119939628125\cdot t^2-8200794532637891559375$

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.