Rule: Q[24]

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.

• $P_1$:
  $\frac{1}{620448401733239439360000}\cdot t^{24}-\frac{1}{1077167364120207360000}\cdot t^{23}+\frac{23}{93666727314800640000}\cdot t^{22}-\frac{23}{580578888314880000}\cdot t^{21}+\frac{23}{5266021662720000}\cdot t^{20}-\frac{23}{65825270784000}\cdot t^{19}+\frac{437}{20786927616000}\cdot t^{18}-\frac{437}{449100288000}\cdot t^{17}+\frac{7429}{211341312000}\cdot t^{16}-\frac{7429}{7429968000}\cdot t^{15}+\frac{7429}{330220800}\cdot t^{14}-\frac{7429}{18532800}\cdot t^{13}+\frac{96577}{17107200}\cdot t^{12}-\frac{7429}{118800}\cdot t^{11}+\frac{81719}{151200}\cdot t^{10}-\frac{81719}{22680}\cdot t^9+\frac{81719}{4480}\cdot t^8-\frac{4807}{70}\cdot t^7+\frac{33649}{180}\cdot t^6-\frac{1771}{5}\cdot t^5+\frac{1771}{4}\cdot t^4-\frac{1012}{3}\cdot t^3+138\cdot t^2-24\cdot t+1$

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.