Rule: Q[2, 6]

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.

• $P_1$:
  $\frac{1}{2}\cdot t^2-2\cdot t+1$
• $P_2$:
  $\frac{1}{2}\cdot t^8-\frac{4663}{167}\cdot t^7+\frac{392807}{668}\cdot t^6-\frac{993633}{167}\cdot t^5+\frac{10206975}{334}\cdot t^4-\frac{12943920}{167}\cdot t^3+\frac{14566410}{167}\cdot t^2-\frac{5684760}{167}\cdot t+\frac{397260}{167}$

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.