Rule: Q[44]

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.

• $P_1$:
  $17592186044416\cdot t^{44}-8321103999008768\cdot t^{42}+1791117635786637312\cdot t^{40}-232845292652262850560\cdot t^{38}+20461280091817597992960\cdot t^{36}-1289060645784508673556480\cdot t^{34}+60263585190425780488765440\cdot t^{32}-2135052732460799080173404160\cdot t^{30}+58046746163777974992214425600\cdot t^{28}-1218981669439337474836502937600\cdot t^{26}+19808452128389233966093172736000\cdot t^{24}-248506035792519480665532530688000\cdot t^{22}+2391870594503000001405750607872000\cdot t^{20}-17479054344445000010272792903680000\cdot t^{18}+95510546953574464341847761223680000\cdot t^{16}-382042187814297857367391044894720000\cdot t^{14}+1086432471596909531888518283919360000\cdot t^{12}-2108957150746942032489476668784640000\cdot t^{10}+2636196438433677540611845835980800000\cdot t^8-1942460533582709766766623247564800000\cdot t^6+728422700093516162537483717836800000\cdot t^4-104060385727645166076783388262400000\cdot t^2+2365008766537390138108713369600000$

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.