Rule: Q[8, 22]

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.

• $P_1$:
  $t^8-28\cdot t^6+210\cdot t^4-420\cdot t^2+105$
• $P_2$:
  $t^{30}-\frac{6293846973611}{18480916529}\cdot t^{28}+\frac{920636615220012}{18480916529}\cdot t^{26}-\frac{76275612520750650}{18480916529}\cdot t^{24}+\frac{3976311393915680775}{18480916529}\cdot t^{22}-\frac{137103210398023202025}{18480916529}\cdot t^{20}+\frac{188302269395303528850}{1087112737}\cdot t^{18}-\frac{2998483272238319296200}{1087112737}\cdot t^{16}+\frac{32370599322094287783375}{1087112737}\cdot t^{14}-\frac{232354608261896447452125}{1087112737}\cdot t^{12}+\frac{15054285343794980283000}{15311447}\cdot t^{10}-\frac{2958969575127402325739250}{1087112737}\cdot t^8+\frac{4427866251098037244121625}{1087112737}\cdot t^6-\frac{2944702489166228915499375}{1087112737}\cdot t^4+\frac{568275793353555633596250}{1087112737}\cdot t^2-\frac{6105340625746309447500}{1087112737}$

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.