Rule: Q[3, 24]

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.

• $P_1$:
  $t^3-3\cdot t$
• $P_2$:
  $t^{27}-\frac{27503181099}{81781733}\cdot t^{25}+\frac{3945146087250}{81781733}\cdot t^{23}-\frac{28863581740650}{7434703}\cdot t^{21}+\frac{1442754782650125}{7434703}\cdot t^{19}-\frac{46859866117931475}{7434703}\cdot t^{17}+\frac{1005890423169183300}{7434703}\cdot t^{15}-\frac{14244358214978797500}{7434703}\cdot t^{13}+\frac{130653510803593493625}{7434703}\cdot t^{11}-\frac{748149899512544904375}{7434703}\cdot t^9+\frac{2512302038811266451750}{7434703}\cdot t^7-\frac{4450595747902254200250}{7434703}\cdot t^5+\frac{3420815427182802796875}{7434703}\cdot t^3-\frac{722954091795475483125}{7434703}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Hermite (probabilists') type can be downloaded here packed into a single file.