Rule: Q[14]

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.

• $P_1$:
  $\frac{1}{87178291200}\cdot t^{14}-\frac{1}{444787200}\cdot t^{13}+\frac{13}{68428800}\cdot t^{12}-\frac{13}{1425600}\cdot t^{11}+\frac{143}{518400}\cdot t^{10}-\frac{143}{25920}\cdot t^9+\frac{143}{1920}\cdot t^8-\frac{143}{210}\cdot t^7+\frac{1001}{240}\cdot t^6-\frac{1001}{60}\cdot t^5+\frac{1001}{24}\cdot t^4-\frac{182}{3}\cdot t^3+\frac{91}{2}\cdot t^2-14\cdot t+1$

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.