Rule: Q[1, 4, 14]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^5-10\cdot t^3+15\cdot t$
• $P_3$:
  $t^{19}-\frac{10067}{33}\cdot t^{17}+\frac{4654486}{165}\cdot t^{15}-\frac{13098722}{11}\cdot t^{13}+26061308\cdot t^{11}-305527040\cdot t^9+1871898210\cdot t^7-5508762714\cdot t^5+6473363715\cdot t^3-1927283085\cdot t$

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.