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.

• $P_1$:
  $t^{10}-45\cdot t^8+630\cdot t^6-3150\cdot t^4+4725\cdot t^2-945$
• $P_2$:
  $t^{27}-\frac{2133931887}{7930307}\cdot t^{25}+\frac{242558486550}{7930307}\cdot t^{23}-\frac{312514703550}{161843}\cdot t^{21}+\frac{84889912926375}{1132901}\cdot t^{19}-\frac{2117887772942115}{1132901}\cdot t^{17}+\frac{34552661259406140}{1132901}\cdot t^{15}-\frac{52576727127297300}{161843}\cdot t^{13}+\frac{2514139075042589475}{1132901}\cdot t^{11}-\frac{965847906202330125}{102991}\cdot t^9+\frac{339133387971906450}{14713}\cdot t^7-\frac{436596584756769450}{14713}\cdot t^5+\frac{242427777674779125}{14713}\cdot t^3-\frac{36876618764051625}{14713}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Hermite (probabilists') type can be downloaded here packed into a single file.