Rule: Q[11, 18]

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.

• $P_1$:
  $t^{11}-55\cdot t^9+990\cdot t^7-6930\cdot t^5+17325\cdot t^3-10395\cdot t$
• $P_2$:
  $t^{29}-\frac{12380943233}{40529468}\cdot t^{27}+\frac{1615566477339}{40529468}\cdot t^{25}-\frac{59326255051605}{20264734}\cdot t^{23}+\frac{2721315373896825}{20264734}\cdot t^{21}-\frac{23381025270609285}{5789924}\cdot t^{19}+\frac{470995616550501135}{5789924}\cdot t^{17}-\frac{1596425847858783945}{1447481}\cdot t^{15}+\frac{14439167887952579850}{1447481}\cdot t^{13}-\frac{340758017553554982225}{5789924}\cdot t^{11}+\frac{1260875025129864476475}{5789924}\cdot t^9-\frac{1371849782210823447675}{2894962}\cdot t^7+\frac{224891447290917875325}{413566}\cdot t^5-\frac{221182651456612399125}{827132}\cdot t^3+\frac{28114295564123715375}{827132}\cdot t$

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.