Rule: Q[1, 56]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{57}-1596\cdot t^{55}+1185030\cdot t^{53}-544323780\cdot t^{51}+173503204875\cdot t^{49}-40807953786600\cdot t^{47}+7352233007219100\cdot t^{45}-1039815811020987000\cdot t^{43}+117369209668993907625\cdot t^{41}-10693639103175000472500\cdot t^{39}+792398657545267535012250\cdot t^{37}-47976136902286198028923500\cdot t^{35}+2378816788071690652267456875\cdot t^{33}-96616558777065589569016710000\cdot t^{31}+3209049987952535653542340725000\cdot t^{29}-86858286340581965022546022290000\cdot t^{27}+1905453656596516857682103363986875\cdot t^{25}-33625652763467944547331235835062500\cdot t^{23}+472627230508743887248600148126156250\cdot t^{21}-5223774652991379806431896374025937500\cdot t^{19}+44663273283076297344992713997921765625\cdot t^{17}-289247865071351258996143290653207625000\cdot t^{15}+1380501174204176463390683887208490937500\cdot t^{13}-4681699634257641919324927965315751875000\cdot t^{11}+10728894995173762731786293253848598046875\cdot t^9-15449608793050218333772262285541981187500\cdot t^7+12478530179002099423431442615245446343750\cdot t^5-4621677844074851638307941709350165312500\cdot t^3+495179769008019818390136611716089140625\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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