Rule: Q[11, 24]

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.

• $P_1$:
  $2048\cdot t^{11}-56320\cdot t^9+506880\cdot t^7-1774080\cdot t^5+2217600\cdot t^3-665280\cdot t$
• $P_2$:
  $2048\cdot t^{35}-\frac{3118305569991680}{6375988649}\cdot t^{33}+\frac{5591653362298122240}{108391807033}\cdot t^{31}-\frac{344899531108985712640}{108391807033}\cdot t^{29}+\frac{13883281814006715756800}{108391807033}\cdot t^{27}-\frac{2698246058488692190807680}{758742649231}\cdot t^{25}+\frac{53255680731869214121776000}{758742649231}\cdot t^{23}-\frac{758939064990274269060696000}{758742649231}\cdot t^{21}+\frac{1121686400440409147646984000}{108391807033}\cdot t^{19}-\frac{494146946972133685741500000}{6375988649}\cdot t^{17}+\frac{2649900780184621449871836000}{6375988649}\cdot t^{15}-\frac{9976214721250138701452805000}{6375988649}\cdot t^{13}+\frac{25568559164452668031650571875}{6375988649}\cdot t^{11}-\frac{85212373429725168857069750625}{12751977298}\cdot t^9+\frac{86110729733479662892487503125}{12751977298}\cdot t^7-\frac{94408216665502970587087355625}{25503954596}\cdot t^5+\frac{183753985071314266047398334375}{204031636768}\cdot t^3-\frac{24982862807499147415342603125}{408063273536}\cdot t$

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.