Rule: Q[14, 21]

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.

• $P_1$:
  $16384\cdot t^{14}-745472\cdot t^{12}+12300288\cdot t^{10}-92252160\cdot t^8+322882560\cdot t^6-484323840\cdot t^4+242161920\cdot t^2-17297280$
• $P_2$:
  $16384\cdot t^{35}-\frac{19511224928418664448}{5631204568669}\cdot t^{33}+\frac{1811432805868971005952}{5631204568669}\cdot t^{31}-\frac{97688719703614733675520}{5631204568669}\cdot t^{29}+\frac{3413190472125801059320320}{5631204568669}\cdot t^{27}-\frac{81610243428647844349528320}{5631204568669}\cdot t^{25}+\frac{1375401496517791922597362560}{5631204568669}\cdot t^{23}-\frac{16585770274687365016570683840}{5631204568669}\cdot t^{21}+\frac{143828251810737506803258221600}{5631204568669}\cdot t^{19}-\frac{894168390672092388946795455600}{5631204568669}\cdot t^{17}+\frac{3942595463164206290936269360200}{5631204568669}\cdot t^{15}-\frac{12094144305738121539194898716100}{5631204568669}\cdot t^{13}+\frac{25052733061575490801325147502150}{5631204568669}\cdot t^{11}-\frac{33523359691647467115337968979875}{5631204568669}\cdot t^9+\frac{54218777654213764582818516814125}{11262409137338}\cdot t^7-\frac{47677020587632395731353659202125}{22524818274676}\cdot t^5+\frac{18784825074919843024745829794625}{45049636549352}\cdot t^3-\frac{514294395565125885913297969875}{22524818274676}\cdot t$

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.