Rule: Q[21]

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.

• $P_1$:
  $\frac{-1}{51090942171709440000}\cdot t^{21}+\frac{1}{115852476579840000}\cdot t^{20}-\frac{1}{579262382899200}\cdot t^{19}+\frac{19}{91462481510400}\cdot t^{18}-\frac{19}{1129166438400}\cdot t^{17}+\frac{323}{332107776000}\cdot t^{16}-\frac{323}{7783776000}\cdot t^{15}+\frac{323}{242161920}\cdot t^{14}-\frac{323}{9884160}\cdot t^{13}+\frac{4199}{6842880}\cdot t^{12}-\frac{4199}{475200}\cdot t^{11}+\frac{4199}{43200}\cdot t^{10}-\frac{4199}{5184}\cdot t^9+\frac{323}{64}\cdot t^8-\frac{323}{14}\cdot t^7+\frac{2261}{30}\cdot t^6-\frac{6783}{40}\cdot t^5+\frac{1995}{8}\cdot t^4-\frac{665}{3}\cdot t^3+105\cdot t^2-21\cdot t+1$

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.