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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^5-10\cdot t^3+\frac{15}{2}\cdot t$
• $P_3$:
  $2\cdot t^{33}-\frac{2668184555150960}{5694181252293}\cdot t^{31}+\frac{3279926688327901981}{68330175027516}\cdot t^{29}-\frac{194036456835923898623}{68330175027516}\cdot t^{27}+\frac{3278876910283308027057}{30368966678896}\cdot t^{25}-\frac{42200419067955640134825}{15184483339448}\cdot t^{23}+\frac{6039524897335551521424525}{121475866715584}\cdot t^{21}-\frac{75910818399568049467595025}{121475866715584}\cdot t^{19}+\frac{2681318263837747252760966925}{485903466862336}\cdot t^{17}-\frac{4120115603016227895779373675}{121475866715584}\cdot t^{15}+\frac{276864719577591816960878964375}{1943613867449344}\cdot t^{13}-\frac{772061223705703165889819789625}{1943613867449344}\cdot t^{11}+\frac{5485289089325937063762035320875}{7774455469797376}\cdot t^9-\frac{2923121770852644124992434831625}{3887227734898688}\cdot t^7+\frac{13658766741772306771864678806375}{31097821879189504}\cdot t^5-\frac{3715051778800047187119041799375}{31097821879189504}\cdot t^3+\frac{1249737051124921139803993595625}{124391287516758016}\cdot t$

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.