Rule: Q[1, 18]

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.

• $P_1$:
  $-t+1$
• $P_2$:
  $-t^{19}+\frac{81698776804752859}{202510138910239}\cdot t^{18}-\frac{14627205740991329118}{202510138910239}\cdot t^{17}+\frac{90775521291138605442}{11912361112367}\cdot t^{16}-\frac{6314466776532886136448}{11912361112367}\cdot t^{15}+\frac{306868508569480568607360}{11912361112367}\cdot t^{14}-\frac{10766476398369387861768960}{11912361112367}\cdot t^{13}+\frac{277850039477086767359934720}{11912361112367}\cdot t^{12}-\frac{5323798392055169642743196160}{11912361112367}\cdot t^{11}+\frac{75911313877361786025990627840}{11912361112367}\cdot t^{10}-\frac{802471160393151801884338406400}{11912361112367}\cdot t^9+\frac{6228378522093413202200946662400}{11912361112367}\cdot t^8-\frac{34920806542647173088867595468800}{11912361112367}\cdot t^7+\frac{138042778518385459938500791910400}{11912361112367}\cdot t^6-\frac{371471087648237237217990674841600}{11912361112367}\cdot t^5+\frac{646625050891519771942584569856000}{11912361112367}\cdot t^4-\frac{674131622369310815188518014976000}{11912361112367}\cdot t^3+\frac{371455514389642160347650772992000}{11912361112367}\cdot t^2-\frac{85781737097046223727104106496000}{11912361112367}\cdot t+\frac{4685147596301448575395160064000}{11912361112367}$

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.