Rule: Q[1, 4, 30]

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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^5-10\cdot t^3+\frac{15}{2}\cdot t$
• $P_3$:
  $2\cdot t^{35}-\frac{2291709715957115785}{4256846092236523}\cdot t^{33}+\frac{3540231442779282093435}{55338999199074799}\cdot t^{31}-\frac{491241144691322084550675}{110677998398149598}\cdot t^{29}+\frac{44362073488335184274953575}{221355996796299196}\cdot t^{27}-\frac{211679908632124381516390155}{34054768737892184}\cdot t^{25}+\frac{9281170339532839691857375875}{68109537475784368}\cdot t^{23}-\frac{291646999300640212199260087875}{136219074951568736}\cdot t^{21}+\frac{3296117890883236042963216906875}{136219074951568736}\cdot t^{19}-\frac{26671328422527460722501960691875}{136219074951568736}\cdot t^{17}+\frac{1220701216787354988249729668551125}{1089752599612549888}\cdot t^{15}-\frac{9667412788224924999384295401118125}{2179505199225099776}\cdot t^{13}+\frac{51320671215794239602878423977213125}{4359010398450199552}\cdot t^{11}-\frac{174250264424743566925960433267053125}{8718020796900399104}\cdot t^9+\frac{352869158324049282774870833487290625}{17436041593800798208}\cdot t^7-\frac{381800909229719498805617740400000625}{34872083187601596416}\cdot t^5+\frac{363316518321535437119816600393465625}{139488332750406385664}\cdot t^3-\frac{48655971603572547475483629402909375}{278976665500812771328}\cdot t$

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.