Rule: Q[2, 35]

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.

• $P_1$:
  $4\cdot t^2-2$
• $P_2$:
  $4\cdot t^{37}-\frac{39424751497470590386}{30432767569864143}\cdot t^{35}+\frac{5699067168042468666530}{30432767569864143}\cdot t^{33}-\frac{14756540135563165368380}{922205077874671}\cdot t^{31}+\frac{832092379712635330762025}{922205077874671}\cdot t^{29}-\frac{65484622160507727968341355}{1844410155749342}\cdot t^{27}+\frac{927273892667110956027541845}{922205077874671}\cdot t^{25}-\frac{76871587391725404901550689125}{3688820311498684}\cdot t^{23}+\frac{9394213259615995788307977772125}{29510562491989472}\cdot t^{21}-\frac{211497316664170316653295178631875}{59021124983978944}\cdot t^{19}+\frac{1742458569663921255003905989066125}{59021124983978944}\cdot t^{17}-\frac{10364529596885878961664127059674625}{59021124983978944}\cdot t^{15}+\frac{174256199718272464253276435544185625}{236084499935915776}\cdot t^{13}-\frac{1002798788946252280064583885264391875}{472168999871831552}\cdot t^{11}+\frac{471458222116587835745741104013409375}{118042249967957888}\cdot t^9-\frac{4324517859606154268870905166525326875}{944337999743663104}\cdot t^7+\frac{43291886262377185803118305212480199375}{15109407995898609664}\cdot t^5-\frac{24221373528758677519465944809673215625}{30218815991797219328}\cdot t^3+\frac{1914744300755015576620877801000428125}{30218815991797219328}\cdot t$

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.