Rule: Q[26]

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.

• $P_1$:
  $\frac{1}{403291461126605635584000000}\cdot t^{26}-\frac{1}{596585001666576384000000}\cdot t^{25}+\frac{1}{1909072005333044428800}\cdot t^{24}-\frac{1}{9943083361109606400}\cdot t^{23}+\frac{23}{1729231888888627200}\cdot t^{22}-\frac{23}{17863965794304000}\cdot t^{21}+\frac{23}{243047153664000}\cdot t^{20}-\frac{23}{4253325189120}\cdot t^{19}+\frac{437}{1790873763840}\cdot t^{18}-\frac{437}{49746493440}\cdot t^{17}+\frac{7429}{29262643200}\cdot t^{16}-\frac{7429}{1257379200}\cdot t^{15}+\frac{7429}{67060224}\cdot t^{14}-\frac{7429}{4447872}\cdot t^{13}+\frac{96577}{4790016}\cdot t^{12}-\frac{96577}{498960}\cdot t^{11}+\frac{1062347}{725760}\cdot t^{10}-\frac{312455}{36288}\cdot t^9+\frac{312455}{8064}\cdot t^8-\frac{16445}{126}\cdot t^7+\frac{23023}{72}\cdot t^6-\frac{3289}{6}\cdot t^5+\frac{7475}{12}\cdot t^4-\frac{1300}{3}\cdot t^3+\frac{325}{2}\cdot t^2-26\cdot t+1$

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.