Rule: Q[10, 19]

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.

• $P_1$:
  $1024\cdot t^{10}-23040\cdot t^8+161280\cdot t^6-403200\cdot t^4+302400\cdot t^2-30240$
• $P_2$:
  $1024\cdot t^{29}-\frac{18595502592}{100451}\cdot t^{27}+\frac{1423385422848}{100451}\cdot t^{25}-\frac{669608021548800}{1104961}\cdot t^{23}+\frac{1615608532641600}{100451}\cdot t^{21}-\frac{307416628934059680}{1104961}\cdot t^{19}+\frac{3542604170691428640}{1104961}\cdot t^{17}-\frac{27327659507677337760}{1104961}\cdot t^{15}+\frac{139876608509959362300}{1104961}\cdot t^{13}-\frac{35733308032728365850}{84997}\cdot t^{11}+\frac{6730776353380060800}{7727}\cdot t^9-\frac{8162730657950978025}{7727}\cdot t^7+\frac{20835501697003733775}{30908}\cdot t^5-\frac{11506310395149016125}{61816}\cdot t^3+\frac{873236905533034875}{61816}\cdot t$

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.