Rule: Q[2, 9]

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.

• $P_1$:
  $\frac{1}{2}\cdot t^2-2\cdot t+1$
• $P_2$:
  $\frac{1}{2}\cdot t^{11}-\frac{323973083}{6432562}\cdot t^{10}+\frac{46399826177}{22513967}\cdot t^9-\frac{1004895723537}{22513967}\cdot t^8+\frac{12593185079184}{22513967}\cdot t^7-\frac{789705857808}{189193}\cdot t^6+\frac{59359713737184}{3216281}\cdot t^5-\frac{150756797812320}{3216281}\cdot t^4+\frac{207904046051520}{3216281}\cdot t^3-\frac{143169306546240}{3216281}\cdot t^2+\frac{42923750843520}{3216281}\cdot t-\frac{3648154826880}{3216281}$

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.