Rule: Q[1, 2, 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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^3-3\cdot t$
• $P_3$:
  $2\cdot t^{25}-\frac{1279876267}{4538860}\cdot t^{23}+\frac{151558958551}{9077720}\cdot t^{21}-\frac{1976989970571}{3631088}\cdot t^{19}+\frac{78324605791047}{7262176}\cdot t^{17}-\frac{981007308626499}{7262176}\cdot t^{15}+\frac{15693999623658279}{14524352}\cdot t^{13}-\frac{158455566430788627}{29048704}\cdot t^{11}+\frac{976491567253807605}{58097408}\cdot t^9-\frac{6908808922367547195}{232389632}\cdot t^7+\frac{12611939144079730455}{464779264}\cdot t^5-\frac{9741254137443283455}{929558528}\cdot t^3+\frac{2004277263248975715}{1859117056}\cdot t$

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.