Rule: Q[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.

• $P_1$:
  $\frac{-1}{6227020800}\cdot t^{13}+\frac{13}{479001600}\cdot t^{12}-\frac{13}{6652800}\cdot t^{11}+\frac{143}{1814400}\cdot t^{10}-\frac{143}{72576}\cdot t^9+\frac{143}{4480}\cdot t^8-\frac{143}{420}\cdot t^7+\frac{143}{60}\cdot t^6-\frac{429}{40}\cdot t^5+\frac{715}{24}\cdot t^4-\frac{143}{3}\cdot t^3+39\cdot t^2-13\cdot t+1$

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.