Rule: Q[42]

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.

• $P_1$:
  $4398046511104\cdot t^{42}-1893359023030272\cdot t^{40}+369205009490903040\cdot t^{38}-43258520278684139520\cdot t^{36}+3406608471946375987200\cdot t^{34}-191110735276191692881920\cdot t^{32}+7899243724749256639119360\cdot t^{30}-245440787161851902715494400\cdot t^{28}+5798538596698751201653555200\cdot t^{26}-104695835773727452252078080000\cdot t^{24}+1444802533677438841078677504000\cdot t^{22}-15170426603613107831326113792000\cdot t^{20}+120099210611937103664665067520000\cdot t^{18}-706737662447168340795913666560000\cdot t^{16}+3028875696202150031982487142400000\cdot t^{14}-9187589611813188430346877665280000\cdot t^{12}+18949403574364701137590435184640000\cdot t^{10}-25080092966070927976222634803200000\cdot t^8+19506738973610721759284271513600000\cdot t^6-7700028542214758589191159808000000\cdot t^4+1155004281332213788378673971200000\cdot t^2-27500101936481280675682713600000$

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.