Rule: Q[20]

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.

• $P_1$:
  $\frac{1}{2432902008176640000}\cdot t^{20}-\frac{1}{6082255020441600}\cdot t^{19}+\frac{19}{640237370572800}\cdot t^{18}-\frac{19}{5928123801600}\cdot t^{17}+\frac{323}{1394852659200}\cdot t^{16}-\frac{323}{27243216000}\cdot t^{15}+\frac{323}{726485760}\cdot t^{14}-\frac{323}{25945920}\cdot t^{13}+\frac{4199}{15966720}\cdot t^{12}-\frac{4199}{997920}\cdot t^{11}+\frac{46189}{907200}\cdot t^{10}-\frac{4199}{9072}\cdot t^9+\frac{4199}{1344}\cdot t^8-\frac{323}{21}\cdot t^7+\frac{323}{6}\cdot t^6-\frac{646}{5}\cdot t^5+\frac{1615}{8}\cdot t^4-190\cdot t^3+95\cdot t^2-20\cdot t+1$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Laguerre type can be downloaded here packed into a single file.