Rule: Q[25]

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.

• $P_1$:
  $\frac{-1}{15511210043330985984000000}\cdot t^{25}+\frac{1}{24817936069329577574400}\cdot t^{24}-\frac{1}{86173389129616588800}\cdot t^{23}+\frac{23}{11240007277776076800}\cdot t^{22}-\frac{23}{92892622130380800}\cdot t^{21}+\frac{23}{1053204332544000}\cdot t^{20}-\frac{23}{15798064988160}\cdot t^{19}+\frac{437}{5820339732480}\cdot t^{18}-\frac{437}{143712092160}\cdot t^{17}+\frac{7429}{76082872320}\cdot t^{16}-\frac{7429}{2971987200}\cdot t^{15}+\frac{7429}{145297152}\cdot t^{14}-\frac{7429}{8895744}\cdot t^{13}+\frac{7429}{684288}\cdot t^{12}-\frac{7429}{66528}\cdot t^{11}+\frac{81719}{90720}\cdot t^{10}-\frac{408595}{72576}\cdot t^9+\frac{24035}{896}\cdot t^8-\frac{24035}{252}\cdot t^7+\frac{8855}{36}\cdot t^6-\frac{1771}{4}\cdot t^5+\frac{6325}{12}\cdot t^4-\frac{1150}{3}\cdot t^3+150\cdot t^2-25\cdot t+1$

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.