Rule: Q[1, 4, 28]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^5-10\cdot t^3+15\cdot t$
• $P_3$:
  $t^{33}-\frac{2668184555150960}{5694181252293}\cdot t^{31}+\frac{3279926688327901981}{34165087513758}\cdot t^{29}-\frac{194036456835923898623}{17082543756879}\cdot t^{27}+\frac{3278876910283308027057}{3796120834862}\cdot t^{25}-\frac{84400838135911280269650}{1898060417431}\cdot t^{23}+\frac{6039524897335551521424525}{3796120834862}\cdot t^{21}-\frac{75910818399568049467595025}{1898060417431}\cdot t^{19}+\frac{2681318263837747252760966925}{3796120834862}\cdot t^{17}-\frac{16480462412064911583117494700}{1898060417431}\cdot t^{15}+\frac{276864719577591816960878964375}{3796120834862}\cdot t^{13}-\frac{772061223705703165889819789625}{1898060417431}\cdot t^{11}+\frac{5485289089325937063762035320875}{3796120834862}\cdot t^9-\frac{5846243541705288249984869663250}{1898060417431}\cdot t^7+\frac{13658766741772306771864678806375}{3796120834862}\cdot t^5-\frac{3715051778800047187119041799375}{1898060417431}\cdot t^3+\frac{1249737051124921139803993595625}{3796120834862}\cdot t$

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.