Rule: Q[2, 9, 16]

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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^{11}-\frac{619}{7}\cdot t^9+\frac{15354}{7}\cdot t^7-19566\cdot t^5+59445\cdot t^3-41985\cdot t$
• $P_3$:
  $t^{27}-\frac{1404816632737976992144487}{4958190867002746465323}\cdot t^{25}+\frac{7593751857289589448719033902}{223118589015123590939535}\cdot t^{23}-\frac{508357190274593659094868633334}{223118589015123590939535}\cdot t^{21}+\frac{90824376169734906791948145379}{965881337727807752985}\cdot t^{19}-\frac{26572855394364317336340731236277}{10624694715005885282835}\cdot t^{17}+\frac{92586735641351849433436522252948}{2124938943001177056567}\cdot t^{15}-\frac{351282979131046370019622161436012}{708312981000392352189}\cdot t^{13}+\frac{233077560600955963550875088021761}{64392089181853850199}\cdot t^{11}-\frac{1051284682597935170653095980698741}{64392089181853850199}\cdot t^9+\frac{305923782003457511801954238527582}{7154676575761538911}\cdot t^7-\frac{418388918684454414153686460814310}{7154676575761538911}\cdot t^5+\frac{244738883346212509191217387702595}{7154676575761538911}\cdot t^3-\frac{38108033685825223512125112772575}{7154676575761538911}\cdot t$

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.