Rule: Q[19]

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.

• $P_1$:
  $\frac{-1}{121645100408832000}\cdot t^{19}+\frac{19}{6402373705728000}\cdot t^{18}-\frac{19}{39520825344000}\cdot t^{17}+\frac{323}{6974263296000}\cdot t^{16}-\frac{323}{108972864000}\cdot t^{15}+\frac{323}{2421619200}\cdot t^{14}-\frac{323}{74131200}\cdot t^{13}+\frac{4199}{39916800}\cdot t^{12}-\frac{4199}{2217600}\cdot t^{11}+\frac{46189}{1814400}\cdot t^{10}-\frac{46189}{181440}\cdot t^9+\frac{4199}{2240}\cdot t^8-\frac{4199}{420}\cdot t^7+\frac{2261}{60}\cdot t^6-\frac{969}{10}\cdot t^5+\frac{323}{2}\cdot t^4-\frac{323}{2}\cdot t^3+\frac{171}{2}\cdot t^2-19\cdot t+1$

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.