Rule: Q[10, 17]

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.

• $P_1$:
  $1024\cdot t^{10}-23040\cdot t^8+161280\cdot t^6-403200\cdot t^4+302400\cdot t^2-30240$
• $P_2$:
  $1024\cdot t^{27}-\frac{1092573126144}{7930307}\cdot t^{25}+\frac{62094972556800}{7930307}\cdot t^{23}-\frac{40001882054400}{161843}\cdot t^{21}+\frac{5432954427288000}{1132901}\cdot t^{19}-\frac{67772408734147680}{1132901}\cdot t^{17}+\frac{552842580150498240}{1132901}\cdot t^{15}-\frac{420613817018378400}{161843}\cdot t^{13}+\frac{10056556300170357900}{1132901}\cdot t^{11}-\frac{1931695812404660250}{102991}\cdot t^9+\frac{339133387971906450}{14713}\cdot t^7-\frac{218298292378384725}{14713}\cdot t^5+\frac{242427777674779125}{58852}\cdot t^3-\frac{36876618764051625}{117704}\cdot t$

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.