Rule: Q[2, 7]

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.

• $P_1$:
  $\frac{1}{2}\cdot t^2-2\cdot t+1$
• $P_2$:
  $\frac{1}{2}\cdot t^9-\frac{89913}{1714}\cdot t^8+\frac{16731829}{8570}\cdot t^7-\frac{296351461}{8570}\cdot t^6+\frac{1368753309}{4285}\cdot t^5-\frac{1335304635}{857}\cdot t^4+\frac{3288628140}{857}\cdot t^3-\frac{3643015068}{857}\cdot t^2+\frac{1411261992}{857}\cdot t-\frac{98153496}{857}$

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.