Rule: Q[8, 13]

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.

• $P_1$:
  $t^8-28\cdot t^6+210\cdot t^4-420\cdot t^2+105$
• $P_2$:
  $t^{21}-\frac{773122}{5011}\cdot t^{19}+\frac{47735037}{5011}\cdot t^{17}-\frac{1535354520}{5011}\cdot t^{15}+\frac{28094703630}{5011}\cdot t^{13}-\frac{300310739820}{5011}\cdot t^{11}+\frac{1855395712170}{5011}\cdot t^9-\frac{6327289888920}{5011}\cdot t^7+\frac{10822722285375}{5011}\cdot t^5-\frac{7689142310850}{5011}\cdot t^3+\frac{1463173536825}{5011}\cdot t$

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.