Rule: Q[33]

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.

• $P_1$:
  $\frac{-1}{8683317618811886495518194401280000000}\cdot t^{33}+\frac{1}{7973661725263440308097515520000000}\cdot t^{32}-\frac{1}{15573558057155156851752960000000}\cdot t^{31}+\frac{31}{1507118521660176469524480000000}\cdot t^{30}-\frac{31}{6698304540711895420108800000}\cdot t^{29}+\frac{899}{1154880093226188865536000000}\cdot t^{28}-\frac{899}{8838368060404506624000000}\cdot t^{27}+\frac{899}{84867731718561792000000}\cdot t^{26}-\frac{899}{1004351854657536000000}\cdot t^{25}+\frac{899}{14462666707068518400}\cdot t^{24}-\frac{899}{251087963664384000}\cdot t^{23}+\frac{20677}{120085547839488000}\cdot t^{22}-\frac{20677}{2977327632384000}\cdot t^{21}+\frac{20677}{87767027712000}\cdot t^{20}-\frac{20677}{3071845969920}\cdot t^{19}+\frac{392863}{2425141555200}\cdot t^{18}-\frac{392863}{119760076800}\cdot t^{17}+\frac{392863}{7044710400}\cdot t^{16}-\frac{392863}{495331200}\cdot t^{15}+\frac{20677}{2201472}\cdot t^{14}-\frac{20677}{224640}\cdot t^{13}+\frac{268801}{362880}\cdot t^{12}-\frac{268801}{55440}\cdot t^{11}+\frac{128557}{5040}\cdot t^{10}-\frac{642785}{6048}\cdot t^9+\frac{385671}{1120}\cdot t^8-\frac{29667}{35}\cdot t^7+\frac{69223}{45}\cdot t^6-\frac{9889}{5}\cdot t^5+1705\cdot t^4-\frac{2728}{3}\cdot t^3+264\cdot t^2-33\cdot t+1$

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.