Rule: Q[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.

• $P_1$:
  $\frac{1}{20922789888000}\cdot t^{16}-\frac{1}{81729648000}\cdot t^{15}+\frac{1}{726485760}\cdot t^{14}-\frac{1}{11119680}\cdot t^{13}+\frac{13}{3421440}\cdot t^{12}-\frac{13}{118800}\cdot t^{11}+\frac{143}{64800}\cdot t^{10}-\frac{143}{4536}\cdot t^9+\frac{143}{448}\cdot t^8-\frac{143}{63}\cdot t^7+\frac{1001}{90}\cdot t^6-\frac{182}{5}\cdot t^5+\frac{455}{6}\cdot t^4-\frac{280}{3}\cdot t^3+60\cdot t^2-16\cdot t+1$

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.