Rule: Q[35]

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.

• $P_1$:
  $\frac{-1}{10333147966386144929666651337523200000000}\cdot t^{35}+\frac{1}{8435222829702975452789103132672000000}\cdot t^{34}-\frac{1}{14593811124053590748770074624000000}\cdot t^{33}+\frac{1}{40203336429899699032424448000000}\cdot t^{32}-\frac{1}{157044282929295699345408000000}\cdot t^{31}+\frac{31}{25329723053112209571840000000}\cdot t^{30}-\frac{31}{168864820354081397145600000}\cdot t^{29}+\frac{899}{40760473878571371724800000}\cdot t^{28}-\frac{899}{415923202842565017600000}\cdot t^{27}+\frac{899}{5134854356081049600000}\cdot t^{26}-\frac{899}{75959383965696000000}\cdot t^{25}+\frac{899}{1336885157796249600}\cdot t^{24}-\frac{899}{27851774120755200}\cdot t^{23}+\frac{20677}{15742307111731200}\cdot t^{22}-\frac{20677}{455355990835200}\cdot t^{21}+\frac{20677}{15488299008000}\cdot t^{20}-\frac{20677}{619531960320}\cdot t^{19}+\frac{392863}{554318069760}\cdot t^{18}-\frac{392863}{30795448320}\cdot t^{17}+\frac{351509}{1811496960}\cdot t^{16}-\frac{351509}{141523200}\cdot t^{15}+\frac{351509}{13208832}\cdot t^{14}-\frac{351509}{1482624}\cdot t^{13}+\frac{198679}{114048}\cdot t^{12}-\frac{198679}{19008}\cdot t^{11}+\frac{2185469}{43200}\cdot t^{10}-\frac{168113}{864}\cdot t^9+\frac{168113}{288}\cdot t^8-\frac{168113}{126}\cdot t^7+\frac{40579}{18}\cdot t^6-\frac{40579}{15}\cdot t^5+\frac{6545}{3}\cdot t^4-\frac{6545}{6}\cdot t^3+\frac{595}{2}\cdot t^2-35\cdot t+1$

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.