Rule: Q[2, 7, 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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^9-\frac{173}{5}\cdot t^7+\frac{1743}{5}\cdot t^5-1113\cdot t^3+798\cdot t$
• $P_3$:
  $t^{27}-\frac{23713059798960210194599}{80267486778947466790}\cdot t^{25}+\frac{38490928736959356647640159}{1043477328126317068270}\cdot t^{23}-\frac{2669596356929556607160822889}{1043477328126317068270}\cdot t^{21}+\frac{1251302066060699168832390282579}{11478250609389487750970}\cdot t^{19}-\frac{17120091141427130568943443496242}{5739125304694743875485}\cdot t^{17}+\frac{305729943623714833393266252893961}{5739125304694743875485}\cdot t^{15}-\frac{54678536972190494062088435867835}{88294235456842213469}\cdot t^{13}+\frac{406108271543059496773949642304984}{88294235456842213469}\cdot t^{11}-\frac{337716694675472793580850976022851}{16053497355789493358}\cdot t^9+\frac{893850191374390231079302957672731}{16053497355789493358}\cdot t^7-\frac{1231431587235049993945122648792933}{16053497355789493358}\cdot t^5+\frac{723505001219868112063866791914905}{16053497355789493358}\cdot t^3-\frac{56456117968234496017092998491395}{8026748677894746679}\cdot t$

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.