Rule: Q[1, 12]

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.

• $P_1$:
  $-t+1$
• $P_2$:
  $-t^{13}+\frac{37224355585}{237686449}\cdot t^{12}-\frac{2468138492808}{237686449}\cdot t^{11}+\frac{8272452406152}{21607859}\cdot t^{10}-\frac{187376591800200}{21607859}\cdot t^9+\frac{2720658349834920}{21607859}\cdot t^8-\frac{25662036400070400}{21607859}\cdot t^7+\frac{22303717068568320}{3086837}\cdot t^6-\frac{85254289816798080}{3086837}\cdot t^5+\frac{194838480069552000}{3086837}\cdot t^4-\frac{244575181481241600}{3086837}\cdot t^3+\frac{145152650332800000}{3086837}\cdot t^2-\frac{30066111333043200}{3086837}\cdot t+\frac{903692760652800}{3086837}$

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.