Rule: Q[17, 26]

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.

• $P_1$:
  $t^{17}-136\cdot t^{15}+7140\cdot t^{13}-185640\cdot t^{11}+2552550\cdot t^9-18378360\cdot t^7+64324260\cdot t^5-91891800\cdot t^3+34459425\cdot t$
• $P_2$:
  $t^{43}-\frac{1352578353572165}{2052842729187}\cdot t^{41}+\frac{401156451354499850}{2052842729187}\cdot t^{39}-\frac{118417160688978553818}{3421404548645}\cdot t^{37}+\frac{126115954542826250196077}{30792640937805}\cdot t^{35}-\frac{2114285554195652798282959}{6158528187561}\cdot t^{33}+\frac{43296667975028160375650968}{2052842729187}\cdot t^{31}-\frac{1990064673788336564339921000}{2052842729187}\cdot t^{29}+\frac{69266878645266749571326560358}{2052842729187}\cdot t^{27}-\frac{612225454987048865686373215566}{684280909729}\cdot t^{25}+\frac{12381340649235874653190272318900}{684280909729}\cdot t^{23}-\frac{190375139534139952131910588317900}{684280909729}\cdot t^{21}+\frac{2209232190163704778794520418870250}{684280909729}\cdot t^{19}-\frac{19119340529973475323069584920623750}{684280909729}\cdot t^{17}+\frac{121272326281236302310215201145021000}{684280909729}\cdot t^{15}-\frac{550243666097552874428710521667875000}{684280909729}\cdot t^{13}+\frac{1726503075433078945316498283682708125}{684280909729}\cdot t^{11}-\frac{3571035033979765233583255924481986875}{684280909729}\cdot t^9+\frac{4536390668344958977095100340108076750}{684280909729}\cdot t^7-\frac{3162469256417479673139019949653499250}{684280909729}\cdot t^5+\frac{986781076304202437440732742510443125}{684280909729}\cdot t^3-\frac{85800767760702964201608540801511875}{684280909729}\cdot t$

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.