Rule: Q[7, 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.

• $P_1$:
  $128\cdot t^7-1344\cdot t^5+3360\cdot t^3-1680\cdot t$
• $P_2$:
  $128\cdot t^{21}-\frac{56224}{5}\cdot t^{19}+\frac{5966128}{15}\cdot t^{17}-\frac{36835372}{5}\cdot t^{15}+77921662\cdot t^{13}-482270789\cdot t^{11}+\frac{3448558113}{2}\cdot t^9-\frac{13584319749}{4}\cdot t^7+\frac{26812306521}{8}\cdot t^5-\frac{22041464445}{16}\cdot t^3+\frac{4851751905}{32}\cdot t$

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.