Rule: Q[30]

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.

• $P_1$:
  $\frac{1}{265252859812191058636308480000000}\cdot t^{30}-\frac{1}{294725399791323398484787200000}\cdot t^{29}+\frac{29}{20325889640780924033433600000}\cdot t^{28}-\frac{29}{77777638931559658291200000}\cdot t^{27}+\frac{29}{426763450927625011200000}\cdot t^{26}-\frac{29}{3156534400352256000000}\cdot t^{25}+\frac{29}{30302730243381657600}\cdot t^{24}-\frac{29}{368262346707763200}\cdot t^{23}+\frac{667}{128091251028787200}\cdot t^{22}-\frac{667}{2381862105907200}\cdot t^{21}+\frac{667}{54010478592000}\cdot t^{20}-\frac{667}{1485288161280}\cdot t^{19}+\frac{12673}{938076733440}\cdot t^{18}-\frac{12673}{37638881280}\cdot t^{17}+\frac{215441}{30996725760}\cdot t^{16}-\frac{215441}{1816214400}\cdot t^{15}+\frac{215441}{129153024}\cdot t^{14}-\frac{12673}{658944}\cdot t^{13}+\frac{164749}{912384}\cdot t^{12}-\frac{8671}{6336}\cdot t^{11}+\frac{95381}{11520}\cdot t^{10}-\frac{476905}{12096}\cdot t^9+\frac{130065}{896}\cdot t^8-\frac{5655}{14}\cdot t^7+\frac{13195}{16}\cdot t^6-\frac{23751}{20}\cdot t^5+\frac{9135}{8}\cdot t^4-\frac{2030}{3}\cdot t^3+\frac{435}{2}\cdot t^2-30\cdot t+1$

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.