Rule: Q[12]

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.

• $P_1$:
  $\frac{1}{479001600}\cdot t^{12}-\frac{1}{3326400}\cdot t^{11}+\frac{11}{604800}\cdot t^{10}-\frac{11}{18144}\cdot t^9+\frac{11}{896}\cdot t^8-\frac{11}{70}\cdot t^7+\frac{77}{60}\cdot t^6-\frac{33}{5}\cdot t^5+\frac{165}{8}\cdot t^4-\frac{110}{3}\cdot t^3+33\cdot t^2-12\cdot t+1$

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.