Rule: Q[28]

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.

• $P_1$:
  $\frac{1}{304888344611713860501504000000}\cdot t^{28}-\frac{1}{388888194657798291456000000}\cdot t^{27}+\frac{1}{1066908627319062528000000}\cdot t^{26}-\frac{1}{4734801600528384000000}\cdot t^{25}+\frac{1}{30302730243381657600}\cdot t^{24}-\frac{1}{263044533362688000}\cdot t^{23}+\frac{23}{68620313051136000}\cdot t^{22}-\frac{23}{992442544128000}\cdot t^{21}+\frac{23}{18003492864000}\cdot t^{20}-\frac{23}{405078589440}\cdot t^{19}+\frac{437}{213199257600}\cdot t^{18}-\frac{437}{7238246400}\cdot t^{17}+\frac{7429}{5109350400}\cdot t^{16}-\frac{7429}{259459200}\cdot t^{15}+\frac{7429}{16144128}\cdot t^{14}-\frac{7429}{1235520}\cdot t^{13}+\frac{96577}{1520640}\cdot t^{12}-\frac{5681}{10560}\cdot t^{11}+\frac{62491}{17280}\cdot t^{10}-\frac{16445}{864}\cdot t^9+\frac{9867}{128}\cdot t^8-\frac{3289}{14}\cdot t^7+\frac{2093}{4}\cdot t^6-819\cdot t^5+\frac{6825}{8}\cdot t^4-546\cdot t^3+189\cdot t^2-28\cdot t+1$

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.