Rule: Q[2, 33]

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.

• $P_1$:
  $4\cdot t^2-2$
• $P_2$:
  $4\cdot t^{35}-\frac{3027161483913075358}{2646128196800447}\cdot t^{33}+\frac{383516814599637679752}{2646128196800447}\cdot t^{31}-\frac{918620783306873530620}{85358974090337}\cdot t^{29}+\frac{44581313653318632739395}{85358974090337}\cdot t^{27}-\frac{2986492103277703052747715}{170717948180674}\cdot t^{25}+\frac{71084399702310952179747525}{170717948180674}\cdot t^{23}-\frac{2439877670876838570617564325}{341435896361348}\cdot t^{21}+\frac{242609014013866036307546650875}{2731487170890784}\cdot t^{19}-\frac{4351586579127616431304731904875}{5462974341781568}\cdot t^{17}+\frac{818720378398355634553215488625}{160675715934752}\cdot t^{15}-\frac{7322541936543158018070534782625}{321351431869504}\cdot t^{13}+\frac{88790334303417068363912164168875}{1285405727478016}\cdot t^{11}-\frac{348563022211347656700761976076875}{2570811454956032}\cdot t^9+\frac{413324524365537393712547045476875}{2570811454956032}\cdot t^7-\frac{529895228243078920333760170396875}{5141622909912064}\cdot t^5+\frac{2405680611872027447349772385630625}{82265966558593024}\cdot t^3-\frac{381509132210940051711307750460625}{164531933117186048}\cdot t$

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.