Rule: Q[1, 14]

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.

• $P_1$:
  $-t+1$
• $P_2$:
  $-t^{15}+\frac{7746376599571}{36392001815}\cdot t^{14}-\frac{715846173495166}{36392001815}\cdot t^{13}+\frac{2914372241006954}{2799384755}\cdot t^{12}-\frac{98162798287254792}{2799384755}\cdot t^{11}+\frac{2212078340737873608}{2799384755}\cdot t^{10}-\frac{6828723209747270832}{559876951}\cdot t^9+\frac{72713143997118857232}{559876951}\cdot t^8-\frac{531265641108725787264}{559876951}\cdot t^7+\frac{2617831153531615012992}{559876951}\cdot t^6-\frac{8435577739696602663168}{559876951}\cdot t^5+\frac{16924916651544071089920}{559876951}\cdot t^4-\frac{19570754283824787563520}{559876951}\cdot t^3+\frac{11474967483870563312640}{559876951}\cdot t^2-\frac{2685986066510144133120}{559876951}\cdot t+\frac{139560666318103726080}{559876951}$

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.