Rule: Q[22]

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.

• $P_1$:
  $\frac{1}{1124000727777607680000}\cdot t^{22}-\frac{1}{2322315553259520000}\cdot t^{21}+\frac{1}{10532043325440000}\cdot t^{20}-\frac{1}{78990324940800}\cdot t^{19}+\frac{19}{16629542092800}\cdot t^{18}-\frac{19}{256628736000}\cdot t^{17}+\frac{323}{90574848000}\cdot t^{16}-\frac{323}{2476656000}\cdot t^{15}+\frac{323}{88058880}\cdot t^{14}-\frac{323}{4043520}\cdot t^{13}+\frac{4199}{3110400}\cdot t^{12}-\frac{4199}{237600}\cdot t^{11}+\frac{46189}{259200}\cdot t^{10}-\frac{3553}{2592}\cdot t^9+\frac{3553}{448}\cdot t^8-\frac{3553}{105}\cdot t^7+\frac{24871}{240}\cdot t^6-\frac{4389}{20}\cdot t^5+\frac{7315}{24}\cdot t^4-\frac{770}{3}\cdot t^3+\frac{231}{2}\cdot t^2-22\cdot t+1$

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.