Rule: Q[1, 3, 10]

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.

• $P_1$:
  $-t+1$
• $P_2$:
  $-t^4+\frac{49}{4}\cdot t^3-\frac{153}{4}\cdot t^2+\frac{57}{2}\cdot t-\frac{3}{2}$
• $P_3$:
  $-t^{14}+\frac{1742149387847530432592609}{10954018355668550030364}\cdot t^{13}-\frac{2609348537338187579971126331}{240988403824708100668008}\cdot t^{12}+\frac{467775324874074966388068846639}{1124612551181971136450704}\cdot t^{11}-\frac{1608153615892609086832604047883}{160658935883138733778672}\cdot t^{10}+\frac{89118517705445199487219551267835}{562306275590985568225352}\cdot t^9-\frac{949177463516978680125768871410435}{562306275590985568225352}\cdot t^8+\frac{854262115174753818446079941284890}{70288284448873196028169}\cdot t^7-\frac{588373656816788793921772476389610}{10041183492696170861167}\cdot t^6+\frac{1852218533502397924531370897920740}{10041183492696170861167}\cdot t^5-\frac{3635427779278221702983079298112100}{10041183492696170861167}\cdot t^4+\frac{4111779398959050237163727948208600}{10041183492696170861167}\cdot t^3-\frac{2336223158879042715292767224320200}{10041183492696170861167}\cdot t^2+\frac{511716521126357362908285870279600}{10041183492696170861167}\cdot t-\frac{22272668006277642478752506324400}{10041183492696170861167}$

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.