Rule: Q[1, 3, 11]

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.

• $P_1$:
  $-t+1$
• $P_2$:
  $-t^4+\frac{49}{4}\cdot t^3-\frac{153}{4}\cdot t^2+\frac{57}{2}\cdot t-\frac{3}{2}$
• $P_3$:
  $-t^{15}+\frac{163111243762984260650095806319}{816045166910938135368856436}\cdot t^{14}-\frac{28169723743100912838661871504315}{1632090333821876270737712872}\cdot t^{13}+\frac{693814817513346783367850876918897}{816045166910938135368856436}\cdot t^{12}-\frac{173523709143188623747354870636331241}{6528361335287505082950851488}\cdot t^{11}+\frac{3625062359660182574238185838767806401}{6528361335287505082950851488}\cdot t^{10}-\frac{25955399958855411984164693358639849705}{3264180667643752541475425744}\cdot t^9+\frac{257204407489289723047193012158935703875}{3264180667643752541475425744}\cdot t^8-\frac{109924300827410557602806160783730216515}{204011291727734533842214109}\cdot t^7+\frac{511074209855304708248800356203284919415}{204011291727734533842214109}\cdot t^6-\frac{1569176902381262254587018572910487358490}{204011291727734533842214109}\cdot t^5+\frac{3028868881015496263227514058925480902550}{204011291727734533842214109}\cdot t^4-\frac{199364666937833042954482314830918035500}{12000664219278501990718477}\cdot t^3+\frac{1913507777144932915550238756381801825900}{204011291727734533842214109}\cdot t^2-\frac{417886977237138246119837033614563905400}{204011291727734533842214109}\cdot t+\frac{18175556846695390908815771772380807400}{204011291727734533842214109}$

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.