Rule: Q[3, 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.

• $P_1$:
  $\frac{-1}{6}\cdot t^3+\frac{3}{2}\cdot t^2-3\cdot t+1$
• $P_2$:
  $\frac{-1}{6}\cdot t^9+\frac{8076}{811}\cdot t^8-\frac{742299}{3244}\cdot t^7+\frac{8447753}{3244}\cdot t^6-\frac{25618239}{1622}\cdot t^5+\frac{83202615}{1622}\cdot t^4-\frac{69021570}{811}\cdot t^3+\frac{51667470}{811}\cdot t^2-\frac{12582540}{811}\cdot t+\frac{166140}{811}$

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.