Rule: Q[10, 19]

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.

• $P_1$:
  $t^{10}-45\cdot t^8+630\cdot t^6-3150\cdot t^4+4725\cdot t^2-945$
• $P_2$:
  $t^{29}-\frac{36319341}{100451}\cdot t^{27}+\frac{5560099308}{100451}\cdot t^{25}-\frac{5231312668350}{1104961}\cdot t^{23}+\frac{25243883322525}{100451}\cdot t^{21}-\frac{9606769654189365}{1104961}\cdot t^{19}+\frac{221412760668214290}{1104961}\cdot t^{17}-\frac{3415957438459667220}{1104961}\cdot t^{15}+\frac{34969152127489840575}{1104961}\cdot t^{13}-\frac{17866654016364182925}{84997}\cdot t^{11}+\frac{6730776353380060800}{7727}\cdot t^9-\frac{16325461315901956050}{7727}\cdot t^7+\frac{20835501697003733775}{7727}\cdot t^5-\frac{11506310395149016125}{7727}\cdot t^3+\frac{1746473811066069750}{7727}\cdot t$

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.