Rule: Q[17]

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.

• $P_1$:
  $\frac{-1}{355687428096000}\cdot t^{17}+\frac{17}{20922789888000}\cdot t^{16}-\frac{17}{163459296000}\cdot t^{15}+\frac{17}{2179457280}\cdot t^{14}-\frac{17}{44478720}\cdot t^{13}+\frac{221}{17107200}\cdot t^{12}-\frac{221}{712800}\cdot t^{11}+\frac{2431}{453600}\cdot t^{10}-\frac{2431}{36288}\cdot t^9+\frac{2431}{4032}\cdot t^8-\frac{2431}{630}\cdot t^7+\frac{1547}{90}\cdot t^6-\frac{1547}{30}\cdot t^5+\frac{595}{6}\cdot t^4-\frac{340}{3}\cdot t^3+68\cdot t^2-17\cdot t+1$

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.