Rule: Q[43]

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.

• $P_1$:
  $8796093022208\cdot t^{43}-3971435999526912\cdot t^{41}+814144379903016960\cdot t^{39}-100546830918022594560\cdot t^{37}+8370523673925380997120\cdot t^{35}-498046158598560169328640\cdot t^{33}+21914030978336647450460160\cdot t^{31}-727858886066181504604569600\cdot t^{29}+18469419233929355679340953600\cdot t^{27}-360153675061622435747148595200\cdot t^{25}+5402305125924336536207228928000\cdot t^{23}-62126508948129870166383132672000\cdot t^{21}+543606953296136363955852410880000\cdot t^{19}-3575261115909204547555798548480000\cdot t^{17}+17365553991558993516699592949760000\cdot t^{15}-60779438970456477308448575324160000\cdot t^{13}+148149882490487663439343402352640000\cdot t^{11}-239654221675788867328349621452800000\cdot t^9+239654221675788867328349621452800000\cdot t^7-132440490926093847734087948697600000\cdot t^5+33110122731523461933521987174400000\cdot t^3-2365008766537390138108713369600000\cdot t$

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.