Rule: Q[1, 13]

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.

• $P_1$:
  $-t+1$
• $P_2$:
  $-t^{14}+\frac{540760240201}{2944654296}\cdot t^{13}-\frac{42619116143617}{2944654296}\cdot t^{12}+\frac{79087983980499}{122693929}\cdot t^{11}-\frac{2206366504131361}{122693929}\cdot t^{10}+\frac{40406429857052545}{122693929}\cdot t^9-\frac{495254650024951245}{122693929}\cdot t^8+\frac{4068777115242908640}{122693929}\cdot t^7-\frac{22108259260328361120}{122693929}\cdot t^6+\frac{77181034759175627280}{122693929}\cdot t^5-\frac{164822581192594525200}{122693929}\cdot t^4+\frac{198825564345090883200}{122693929}\cdot t^3-\frac{118431894307533206400}{122693929}\cdot t^2+\frac{26998343186537923200}{122693929}\cdot t-\frac{1254007393515676800}{122693929}$

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.