Rule: Q[1, 2, 26]

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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^3-3\cdot t$
• $P_3$:
  $2\cdot t^{29}-\frac{8944298513}{22263096}\cdot t^{27}+\frac{517712132925}{14842064}\cdot t^{25}-\frac{25609140141975}{14842064}\cdot t^{23}+\frac{1602291607584525}{29684128}\cdot t^{21}-\frac{133123628499887025}{118736512}\cdot t^{19}+\frac{3752160715936207575}{237473024}\cdot t^{17}-\frac{18021447523895941125}{118736512}\cdot t^{15}+\frac{233862751861335221625}{237473024}\cdot t^{13}-\frac{8014725505679922154125}{1899784192}\cdot t^{11}+\frac{43572149207584561438875}{3799568384}\cdot t^9-\frac{70467231491884719867375}{3799568384}\cdot t^7+\frac{121860519308968002688125}{7599136768}\cdot t^5-\frac{185235974626365762474375}{30396547072}\cdot t^3+\frac{39213048694057413800625}{60793094144}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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