Rule: Q[4, 9]

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.

• $P_1$:
  $\frac{1}{24}\cdot t^4-\frac{2}{3}\cdot t^3+3\cdot t^2-4\cdot t+1$
• $P_2$:
  $\frac{1}{24}\cdot t^{13}-\frac{92255858219}{15195499752}\cdot t^{12}+\frac{234956819931}{633145823}\cdot t^{11}-\frac{7910839170545}{633145823}\cdot t^{10}+\frac{810412191929011}{3165729115}\cdot t^9-\frac{10542996563222691}{3165729115}\cdot t^8+\frac{88290146644674912}{3165729115}\cdot t^7-\frac{473063163332520096}{3165729115}\cdot t^6+\frac{1583350190436201264}{3165729115}\cdot t^5-\frac{632947895657817264}{633145823}\cdot t^4+\frac{700106893536242304}{633145823}\cdot t^3-\frac{375097820355070848}{633145823}\cdot t^2+\frac{74591604197437824}{633145823}\cdot t-\frac{2683048736382336}{633145823}$

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.