Rule: Q[27]

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.

• $P_1$:
  $\frac{-1}{10888869450418352160768000000}\cdot t^{27}+\frac{1}{14936720782466875392000000}\cdot t^{26}-\frac{1}{44191481604931584000000}\cdot t^{25}+\frac{1}{212119111703671603200}\cdot t^{24}-\frac{1}{1473049386831052800}\cdot t^{23}+\frac{23}{320228127571968000}\cdot t^{22}-\frac{23}{3969770176512000}\cdot t^{21}+\frac{23}{63012225024000}\cdot t^{20}-\frac{23}{1260244500480}\cdot t^{19}+\frac{437}{596957921280}\cdot t^{18}-\frac{437}{18424627200}\cdot t^{17}+\frac{7429}{11921817600}\cdot t^{16}-\frac{7429}{558835200}\cdot t^{15}+\frac{7429}{32288256}\cdot t^{14}-\frac{7429}{2306304}\cdot t^{13}+\frac{96577}{2661120}\cdot t^{12}-\frac{96577}{295680}\cdot t^{11}+\frac{62491}{26880}\cdot t^{10}-\frac{312455}{24192}\cdot t^9+\frac{49335}{896}\cdot t^8-\frac{9867}{56}\cdot t^7+\frac{3289}{8}\cdot t^6-\frac{2691}{4}\cdot t^5+\frac{2925}{4}\cdot t^4-\frac{975}{2}\cdot t^3+\frac{351}{2}\cdot t^2-27\cdot t+1$

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.