Rule: Q[2, 5]

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.

• $P_1$:
  $\frac{1}{2}\cdot t^2-2\cdot t+1$
• $P_2$:
  $\frac{1}{2}\cdot t^7-\frac{1813}{94}\cdot t^6+\frac{37391}{141}\cdot t^5-\frac{229175}{141}\cdot t^4+\frac{642700}{141}\cdot t^3-\frac{254620}{47}\cdot t^2+\frac{104680}{47}\cdot t-\frac{8840}{47}$

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.