Rule: Q[32]

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.

• $P_1$:
  $\frac{1}{263130836933693530167218012160000000}\cdot t^{32}-\frac{1}{256963707943060088053923840000000}\cdot t^{31}+\frac{31}{16578303738261941164769280000000}\cdot t^{30}-\frac{31}{55261012460873137215897600000}\cdot t^{29}+\frac{899}{7622208615292846512537600000}\cdot t^{28}-\frac{899}{48611024332224786432000000}\cdot t^{27}+\frac{899}{400090735244648448000000}\cdot t^{26}-\frac{899}{4142951400462336000000}\cdot t^{25}+\frac{899}{53029777925917900800}\cdot t^{24}-\frac{899}{828590280092467200}\cdot t^{23}+\frac{20677}{360256643518464000}\cdot t^{22}-\frac{20677}{8187650989056000}\cdot t^{21}+\frac{20677}{222793224192000}\cdot t^{20}-\frac{20677}{7240779786240}\cdot t^{19}+\frac{392863}{5335311421440}\cdot t^{18}-\frac{392863}{247005158400}\cdot t^{17}+\frac{6678671}{232475443200}\cdot t^{16}-\frac{392863}{908107200}\cdot t^{15}+\frac{392863}{72648576}\cdot t^{14}-\frac{20677}{370656}\cdot t^{13}+\frac{268801}{570240}\cdot t^{12}-\frac{268801}{83160}\cdot t^{11}+\frac{268801}{15120}\cdot t^{10}-\frac{58435}{756}\cdot t^9+\frac{58435}{224}\cdot t^8-\frac{23374}{35}\cdot t^7+\frac{6293}{5}\cdot t^6-\frac{25172}{15}\cdot t^5+\frac{4495}{3}\cdot t^4-\frac{2480}{3}\cdot t^3+248\cdot t^2-32\cdot t+1$

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.