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.

• $P_1$:
  $131072\cdot t^{17}-8912896\cdot t^{15}+233963520\cdot t^{13}-3041525760\cdot t^{11}+20910489600\cdot t^9-75277762560\cdot t^7+131736084480\cdot t^5-94097203200\cdot t^3+17643225600\cdot t$
• $P_2$:
  $131072\cdot t^{43}-\frac{88642574979705405440}{2052842729187}\cdot t^{41}+\frac{13145094597984251084800}{2052842729187}\cdot t^{39}-\frac{1940146760728224625754112}{3421404548645}\cdot t^{37}+\frac{1033141899614832641606262784}{30792640937805}\cdot t^{35}-\frac{8660113629985393861767000064}{6158528187561}\cdot t^{33}+\frac{88671576012857672449333182464}{2052842729187}\cdot t^{31}-\frac{2037826225959256641884079104000}{2052842729187}\cdot t^{29}+\frac{35464641866376575780519198903296}{2052842729187}\cdot t^{27}-\frac{156729716476684509615711543184896}{684280909729}\cdot t^{25}+\frac{1584811603102191955608354856819200}{684280909729}\cdot t^{23}-\frac{12184008930184956936442277652345600}{684280909729}\cdot t^{21}+\frac{70695430085238552921424653403848000}{684280909729}\cdot t^{19}-\frac{305909448479575605169113358729980000}{684280909729}\cdot t^{17}+\frac{970178610249890418481721609160168000}{684280909729}\cdot t^{15}-\frac{2200974664390211497714842086671500000}{684280909729}\cdot t^{13}+\frac{3453006150866157890632996567365416250}{684280909729}\cdot t^{11}-\frac{3571035033979765233583255924481986875}{684280909729}\cdot t^9+\frac{2268195334172479488547550170054038375}{684280909729}\cdot t^7-\frac{1581234628208739836569509974826749625}{1368561819458}\cdot t^5+\frac{986781076304202437440732742510443125}{5474247277832}\cdot t^3-\frac{85800767760702964201608540801511875}{10948494555664}\cdot t$

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.