Rule: Q[2, 11]

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.

• $P_1$:
  $\frac{1}{2}\cdot t^2-2\cdot t+1$
• $P_2$:
  $\frac{1}{2}\cdot t^{13}-\frac{18217400083}{245851822}\cdot t^{12}+\frac{10290592535077}{2212666398}\cdot t^{11}-\frac{359733573108877}{2212666398}\cdot t^{10}+\frac{3877112389395025}{1106333199}\cdot t^9-\frac{5993103443466315}{122925911}\cdot t^8+\frac{54793694107899120}{122925911}\cdot t^7-\frac{329296310064118320}{122925911}\cdot t^6+\frac{1281178849673812320}{122925911}\cdot t^5-\frac{3122327020985172000}{122925911}\cdot t^4+\frac{4490711239693694400}{122925911}\cdot t^3-\frac{3419257286556619200}{122925911}\cdot t^2+\frac{1107508972328035200}{122925911}\cdot t-\frac{86769927648835200}{122925911}$

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.