Rule: Q[29]

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.

• $P_1$:
  $\frac{-1}{8841761993739701954543616000000}\cdot t^{29}+\frac{29}{304888344611713860501504000000}\cdot t^{28}-\frac{29}{777776389315596582912000000}\cdot t^{27}+\frac{29}{3200725881957187584000000}\cdot t^{26}-\frac{29}{18939206402113536000000}\cdot t^{25}+\frac{29}{151513651216908288000}\cdot t^{24}-\frac{29}{1578267200176128000}\cdot t^{23}+\frac{667}{480342191357952000}\cdot t^{22}-\frac{667}{7939540353024000}\cdot t^{21}+\frac{667}{162031435776000}\cdot t^{20}-\frac{667}{4050785894400}\cdot t^{19}+\frac{12673}{2345191833600}\cdot t^{18}-\frac{12673}{86858956800}\cdot t^{17}+\frac{215441}{66421555200}\cdot t^{16}-\frac{215441}{3632428800}\cdot t^{15}+\frac{215441}{242161920}\cdot t^{14}-\frac{215441}{19768320}\cdot t^{13}+\frac{164749}{1520640}\cdot t^{12}-\frac{164749}{190080}\cdot t^{11}+\frac{95381}{17280}\cdot t^{10}-\frac{95381}{3456}\cdot t^9+\frac{95381}{896}\cdot t^8-\frac{8671}{28}\cdot t^7+\frac{2639}{4}\cdot t^6-\frac{7917}{8}\cdot t^5+\frac{7917}{8}\cdot t^4-609\cdot t^3+203\cdot t^2-29\cdot t+1$

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.