Rule: Q[1, 16]

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.

• $P_1$:
  $-t+1$
• $P_2$:
  $-t^{17}+\frac{1415200955980289}{5066513855745}\cdot t^{16}-\frac{174870964179234944}{5066513855745}\cdot t^{15}+\frac{842981029964964480}{337767590383}\cdot t^{14}-\frac{39768754712653957760}{337767590383}\cdot t^{13}+\frac{1292222636747433372800}{337767590383}\cdot t^{12}-\frac{29766272740971911359488}{337767590383}\cdot t^{11}+\frac{492974780885808004912128}{337767590383}\cdot t^{10}-\frac{5892728447756626418342400}{337767590383}\cdot t^9+\frac{50609449209965874977548800}{337767590383}\cdot t^8-\frac{308379791296781518016102400}{337767590383}\cdot t^7+\frac{1304554206803571852056248320}{337767590383}\cdot t^6-\frac{3706249848037169007940485120}{337767590383}\cdot t^5+\frac{6728532837814658576369664000}{337767590383}\cdot t^4-\frac{7233899567670496508755968000}{337767590383}\cdot t^3+\frac{4066828392417401358139392000}{337767590383}\cdot t^2-\frac{948329261058126202756300800}{337767590383}\cdot t+\frac{51761848471288356822220800}{337767590383}$

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.