Rule: Q[18]

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.

• $P_1$:
  $\frac{1}{6402373705728000}\cdot t^{18}-\frac{1}{19760412672000}\cdot t^{17}+\frac{17}{2324754432000}\cdot t^{16}-\frac{17}{27243216000}\cdot t^{15}+\frac{17}{484323840}\cdot t^{14}-\frac{17}{12355200}\cdot t^{13}+\frac{221}{5702400}\cdot t^{12}-\frac{221}{277200}\cdot t^{11}+\frac{2431}{201600}\cdot t^{10}-\frac{2431}{18144}\cdot t^9+\frac{2431}{2240}\cdot t^8-\frac{221}{35}\cdot t^7+\frac{1547}{60}\cdot t^6-\frac{357}{5}\cdot t^5+\frac{255}{2}\cdot t^4-136\cdot t^3+\frac{153}{2}\cdot t^2-18\cdot t+1$

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.