Rule: Q[1, 15]

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.

• $P_1$:
  $-t+1$
• $P_2$:
  $-t^{16}+\frac{108040381198079}{441823808804}\cdot t^{15}-\frac{11584560076012575}{441823808804}\cdot t^{14}+\frac{51401360580459225}{31558843486}\cdot t^{13}-\frac{2059325874061658475}{31558843486}\cdot t^{12}+\frac{28035997395824371590}{15779421743}\cdot t^{11}-\frac{532756994470744032990}{15779421743}\cdot t^{10}+\frac{7144591068462331984500}{15779421743}\cdot t^9-\frac{67618475293272460771500}{15779421743}\cdot t^8+\frac{447274425019475983644000}{15779421743}\cdot t^7-\frac{2027161159416393117717600}{15779421743}\cdot t^6+\frac{6096035900413158269169600}{15779421743}\cdot t^5-\frac{11578596225397600318920000}{15779421743}\cdot t^4+\frac{12870298656329584710240000}{15779421743}\cdot t^3-\frac{7386439720460815254240000}{15779421743}\cdot t^2+\frac{1733097605065458375744000}{15779421743}\cdot t-\frac{93529871958835376064000}{15779421743}$

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.