Rule: Q[2, 10]

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.

• $P_1$:
  $\frac{1}{2}\cdot t^2-2\cdot t+1$
• $P_2$:
  $\frac{1}{2}\cdot t^{12}-\frac{3852073353}{61888739}\cdot t^{11}+\frac{1597308040787}{495109912}\cdot t^{10}-\frac{11295103253975}{123777478}\cdot t^9+\frac{384316836273675}{247554956}\cdot t^8-\frac{1022998167131760}{61888739}\cdot t^7+\frac{6887752414879140}{61888739}\cdot t^6-\frac{29022593851858320}{61888739}\cdot t^5+\frac{74267263936971000}{61888739}\cdot t^4-\frac{109175102938944000}{61888739}\cdot t^3+\frac{83402880296979600}{61888739}\cdot t^2-\frac{27004903729070400}{61888739}\cdot t+\frac{2146648712695200}{61888739}$

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.