Rule: Q[10, 15]

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.

• $P_1$:
  $t^{10}-45\cdot t^8+630\cdot t^6-3150\cdot t^4+4725\cdot t^2-945$
• $P_2$:
  $t^{25}-\frac{102338125}{485553}\cdot t^{23}+\frac{2983748425}{161851}\cdot t^{21}-\frac{142150090075}{161851}\cdot t^{19}+\frac{4072863798500}{161851}\cdot t^{17}-\frac{73168703898990}{161851}\cdot t^{15}+\frac{834094159761450}{161851}\cdot t^{13}-\frac{5976170881139550}{161851}\cdot t^{11}+\frac{26112076472356875}{161851}\cdot t^9-\frac{65845826225053875}{161851}\cdot t^7+\frac{87203047569162525}{161851}\cdot t^5-\frac{50465513591868375}{161851}\cdot t^3+\frac{340250598938250}{7037}\cdot t$

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.