Rule: Q[11]

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.

• $P_1$:
  $\frac{-1}{39916800}\cdot t^{11}+\frac{11}{3628800}\cdot t^{10}-\frac{11}{72576}\cdot t^9+\frac{11}{2688}\cdot t^8-\frac{11}{168}\cdot t^7+\frac{77}{120}\cdot t^6-\frac{77}{20}\cdot t^5+\frac{55}{4}\cdot t^4-\frac{55}{2}\cdot t^3+\frac{55}{2}\cdot t^2-11\cdot t+1$

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.