Rule: Q[34]

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.

• $P_1$:
  $\frac{1}{295232799039604140847618609643520000000}\cdot t^{34}-\frac{1}{255391694670937838103476305920000000}\cdot t^{33}+\frac{1}{469038925015496488711618560000000}\cdot t^{32}-\frac{1}{1374137475631337369272320000000}\cdot t^{31}+\frac{31}{177308061371785467002880000000}\cdot t^{30}-\frac{31}{985044785398808150016000000}\cdot t^{29}+\frac{899}{203802369392856858624000000}\cdot t^{28}-\frac{899}{1819664012436221952000000}\cdot t^{27}+\frac{899}{19968878051426304000000}\cdot t^{26}-\frac{899}{265857843879936000000}\cdot t^{25}+\frac{899}{4253725502078976000}\cdot t^{24}-\frac{899}{81234341185536000}\cdot t^{23}+\frac{20677}{42383134531584000}\cdot t^{22}-\frac{20677}{1138389977088000}\cdot t^{21}+\frac{20677}{36139364352000}\cdot t^{20}-\frac{20677}{1355226163200}\cdot t^{19}+\frac{392863}{1141243084800}\cdot t^{18}-\frac{392863}{59880038400}\cdot t^{17}+\frac{6678671}{63402393600}\cdot t^{16}-\frac{351509}{247665600}\cdot t^{15}+\frac{351509}{22014720}\cdot t^{14}-\frac{351509}{2358720}\cdot t^{13}+\frac{4569617}{3991680}\cdot t^{12}-\frac{198679}{27720}\cdot t^{11}+\frac{2185469}{60480}\cdot t^{10}-\frac{2185469}{15120}\cdot t^9+\frac{504339}{1120}\cdot t^8-\frac{336226}{315}\cdot t^7+\frac{168113}{90}\cdot t^6-\frac{11594}{5}\cdot t^5+\frac{5797}{3}\cdot t^4-\frac{2992}{3}\cdot t^3+\frac{561}{2}\cdot t^2-34\cdot t+1$

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.