Rule: Q[23]

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.

• $P_1$:
  $\frac{-1}{25852016738884976640000}\cdot t^{23}+\frac{23}{1124000727777607680000}\cdot t^{22}-\frac{23}{4644631106519040000}\cdot t^{21}+\frac{23}{31596129976320000}\cdot t^{20}-\frac{23}{315961299763200}\cdot t^{19}+\frac{437}{83147710464000}\cdot t^{18}-\frac{437}{1539772416000}\cdot t^{17}+\frac{7429}{634023936000}\cdot t^{16}-\frac{7429}{19813248000}\cdot t^{15}+\frac{7429}{792529920}\cdot t^{14}-\frac{7429}{40435200}\cdot t^{13}+\frac{96577}{34214400}\cdot t^{12}-\frac{96577}{2851200}\cdot t^{11}+\frac{81719}{259200}\cdot t^{10}-\frac{81719}{36288}\cdot t^9+\frac{81719}{6720}\cdot t^8-\frac{81719}{1680}\cdot t^7+\frac{33649}{240}\cdot t^6-\frac{33649}{120}\cdot t^5+\frac{8855}{24}\cdot t^4-\frac{1771}{6}\cdot t^3+\frac{253}{2}\cdot t^2-23\cdot t+1$

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.