Rule: Q[50]

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.

• $P_1$:
  $1125899906842624\cdot t^{50}-689613692941107200\cdot t^{48}+194471061409392230400\cdot t^{46}-33546258093120159744000\cdot t^{44}+3966845019511458889728000\cdot t^{42}-341545356179936610405580800\cdot t^{40}+22200448151695879676362752000\cdot t^{38}-1114779646474443100891643904000\cdot t^{36}+43894448579931197097608478720000\cdot t^{34}-1368043647407855642875464253440000\cdot t^{32}+33927482455714819943311513485312000\cdot t^{30}-670838857647088485242750380277760000\cdot t^{28}+10565712007941643642573318489374720000\cdot t^{26}-132071400099270545532166481117184000000\cdot t^{24}+1301846658121381091674212456726528000000\cdot t^{22}-10024219267534634405891435916794265600000\cdot t^{20}+59518801900986891784980400755965952000000\cdot t^{18}-267834608554441013032411803401846784000000\cdot t^{16}+892782028514803376774706011339489280000000\cdot t^{14}-2137978015653871244381532816628776960000000\cdot t^{12}+3527663725828887553229529147437481984000000\cdot t^{10}-3779639706245236664174495515111587840000000\cdot t^8+2405225267610605149929224418707374080000000\cdot t^6-784312587264327766281268832187187200000000\cdot t^4+98039073408040970785158604023398400000000\cdot t^2-1960781468160819415703172080467968000000$

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.