Rule: Q[1, 4, 34]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^5-10\cdot t^3+15\cdot t$
• $P_3$:
  $t^{39}-\frac{850021374965916870649}{1197449949929852181}\cdot t^{37}+\frac{4058305368660464448012727}{17961749248947782715}\cdot t^{35}-\frac{153488632143528736870280003}{3592349849789556543}\cdot t^{33}+\frac{207149931558386023883485964}{38627417739672651}\cdot t^{31}-\frac{18262619486258512712656341340}{38627417739672651}\cdot t^{29}+\frac{1167488660125707013498246764460}{38627417739672651}\cdot t^{27}-\frac{18364800434819606621505825745572}{12875805913224217}\cdot t^{25}+\frac{645307756606056548891989182430350}{12875805913224217}\cdot t^{23}-\frac{16913005996506294746141772413862150}{12875805913224217}\cdot t^{21}+\frac{329230110456389462502804037431765750}{12875805913224217}\cdot t^{19}-\frac{4712101379079733764068435362432311750}{12875805913224217}\cdot t^{17}+\frac{48773415602562297849888182329160027700}{12875805913224217}\cdot t^{15}-\frac{356298594987328033983151668984703678500}{12875805913224217}\cdot t^{13}+\frac{1774037113201522577944103887719636736500}{12875805913224217}\cdot t^{11}-\frac{5726007926844709419934969135736283232500}{12875805913224217}\cdot t^9+\frac{11120145374060218342455763230277246670625}{12875805913224217}\cdot t^7-\frac{11544674399865881289867482768486791567125}{12875805913224217}\cdot t^5+\frac{5188336940221526480407053246696052693125}{12875805913224217}\cdot t^3-\frac{624530389960994686840541252268800038125}{12875805913224217}\cdot t$

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.