Rule: Q[1, 17]

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.

• $P_1$:
  $-t+1$
• $P_2$:
  $-t^{18}+\frac{15680471520014945}{49021548330016}\cdot t^{17}-\frac{2236565419569630017}{49021548330016}\cdot t^{16}+\frac{5886140545325601284}{1531923385313}\cdot t^{15}-\frac{326705998413685641900}{1531923385313}\cdot t^{14}+\frac{12634810373190003493740}{1531923385313}\cdot t^{13}-\frac{351034001307872756737500}{1531923385313}\cdot t^{12}+\frac{7121571643286957109970080}{1531923385313}\cdot t^{11}-\frac{106205820088209471980269920}{1531923385313}\cdot t^{10}+\frac{1163309656352263529691582000}{1531923385313}\cdot t^9-\frac{9287092624967816702779335600}{1531923385313}\cdot t^8+\frac{53244375467533374923967168000}{1531923385313}\cdot t^7-\frac{214190259712893219606974323200}{1531923385313}\cdot t^6+\frac{584213500430838899836844428800}{1531923385313}\cdot t^5-\frac{1027294184277150479382813120000}{1531923385313}\cdot t^4+\frac{1078773306589656451565535744000}{1531923385313}\cdot t^3-\frac{597243459347073220381539840000}{1531923385313}\cdot t^2+\frac{138276925585285808648815488000}{1531923385313}\cdot t-\frac{7556998799056943178214272000}{1531923385313}$

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.