Rule: Q[2, 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.

• $P_1$:
  $\frac{1}{2}\cdot t^2-2\cdot t+1$
• $P_2$:
  $\frac{1}{2}\cdot t^{18}-\frac{7811386810220820717618}{53494522845766424537}\cdot t^{17}+\frac{7081468365842334724098991}{374461659920364971759}\cdot t^{16}-\frac{538156784553621105373148416}{374461659920364971759}\cdot t^{15}+\frac{26766658166278070252872238400}{374461659920364971759}\cdot t^{14}-\frac{131471565464141593054409230080}{53494522845766424537}\cdot t^{13}+\frac{3218160708389185026861696051840}{53494522845766424537}\cdot t^{12}-\frac{56923797768860943401977150986240}{53494522845766424537}\cdot t^{11}+\frac{731192189178316641663930516714240}{53494522845766424537}\cdot t^{10}-\frac{6799632903621963992689400428416000}{53494522845766424537}\cdot t^9+\frac{45296708192730190979032587677683200}{53494522845766424537}\cdot t^8-\frac{212167808268947465684358278556057600}{53494522845766424537}\cdot t^7+\frac{679132351957015877557332011181465600}{53494522845766424537}\cdot t^6-\frac{1424717670555778624014174859299225600}{53494522845766424537}\cdot t^5+\frac{1841533373056721018676047974287360000}{53494522845766424537}\cdot t^4-\frac{1333899543785493377786962732351488000}{53494522845766424537}\cdot t^3+\frac{462678627088542195699514892089344000}{53494522845766424537}\cdot t^2-\frac{56941276461562146656158552940544000}{53494522845766424537}\cdot t+\frac{1154037738544193565655469420544000}{53494522845766424537}$

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.