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.

• $P_1$:
  $274877906944\cdot t^{38}-96619584290816\cdot t^{36}+15217584525803520\cdot t^{34}-1422844153162629120\cdot t^{32}+88216337496083005440\cdot t^{30}-3837410681079610736640\cdot t^{28}+120878436454007738204160\cdot t^{26}-2806106560539465351168000\cdot t^{24}+48405338169305777307648000\cdot t^{22}-621201839839424142114816000\cdot t^{20}+5901417478474529350090752000\cdot t^{18}-41041676100300135934722048000\cdot t^{16}+205208380501500679673610240000\cdot t^{14}-718229331755252378857635840000\cdot t^{12}+1692969139137380607307284480000\cdot t^{10}-2539453708706070910960926720000\cdot t^8+2222021995117812047090810880000\cdot t^6-980303821375505314893004800000\cdot t^4+163383970229250885815500800000\cdot t^2-4299578163927654889881600000$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Hermite (physicists') type can be downloaded here packed into a single file.