Rule: Q[15]

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.

• $P_1$:
  $\frac{-1}{1307674368000}\cdot t^{15}+\frac{1}{5811886080}\cdot t^{14}-\frac{1}{59304960}\cdot t^{13}+\frac{13}{13685760}\cdot t^{12}-\frac{13}{380160}\cdot t^{11}+\frac{143}{172800}\cdot t^{10}-\frac{143}{10368}\cdot t^9+\frac{143}{896}\cdot t^8-\frac{143}{112}\cdot t^7+\frac{1001}{144}\cdot t^6-\frac{1001}{40}\cdot t^5+\frac{455}{8}\cdot t^4-\frac{455}{6}\cdot t^3+\frac{105}{2}\cdot t^2-15\cdot t+1$

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.