Rule: Q[1, 3, 6]

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.

• $P_1$:
  $-t+1$
• $P_2$:
  $-t^4+\frac{49}{4}\cdot t^3-\frac{153}{4}\cdot t^2+\frac{57}{2}\cdot t-\frac{3}{2}$
• $P_3$:
  $-t^{10}+\frac{5546727923407}{77889109228}\cdot t^9-\frac{78138388609965}{38944554614}\cdot t^8+\frac{4522674615071217}{155778218456}\cdot t^7-\frac{36570825831063507}{155778218456}\cdot t^6+\frac{84395138684499981}{77889109228}\cdot t^5-\frac{218170169679852765}{77889109228}\cdot t^4+\frac{74293281149825475}{19472277307}\cdot t^3-\frac{46965952482547005}{19472277307}\cdot t^2+\frac{10625814213249330}{19472277307}\cdot t-\frac{465664245089130}{19472277307}$

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.