Rule: Q[2, 9, 18]

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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^{11}-\frac{619}{7}\cdot t^9+\frac{15354}{7}\cdot t^7-19566\cdot t^5+59445\cdot t^3-41985\cdot t$
• $P_3$:
  $t^{29}-\frac{1021756589425959955765938581}{2850224919301609318221683}\cdot t^{27}+\frac{22525821539178627681014146092}{407174988471658474031669}\cdot t^{25}-\frac{151620348062466494230739924936430}{31352474112317702500438513}\cdot t^{23}+\frac{41592892484187154753690246367848443}{156762370561588512502192565}\cdot t^{21}-\frac{214420888020936329369418966738563943}{22394624365941216071741795}\cdot t^{19}+\frac{5191816660652832223273260124557362958}{22394624365941216071741795}\cdot t^{17}-\frac{84600042386791542941118914897094812124}{22394624365941216071741795}\cdot t^{15}+\frac{183605529121517298860656872021148360473}{4478924873188243214348359}\cdot t^{13}-\frac{117761403601833167872513315908748990197}{407174988471658474031669}\cdot t^{11}+\frac{518747118222095370706942641325194258696}{407174988471658474031669}\cdot t^9-\frac{1337180070411216499248694591054847140086}{407174988471658474031669}\cdot t^7+\frac{1811229591549404416703024650011408191493}{407174988471658474031669}\cdot t^5-\frac{24566974753529111223411036510323895045}{9469185778410662186783}\cdot t^3+\frac{166100845302103913621419931053394347530}{407174988471658474031669}\cdot t$

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.