Rule: Q[3, 24]

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.

• $P_1$:
  $8\cdot t^3-12\cdot t$
• $P_2$:
  $8\cdot t^{27}-\frac{110012724396}{81781733}\cdot t^{25}+\frac{7890292174500}{81781733}\cdot t^{23}-\frac{28863581740650}{7434703}\cdot t^{21}+\frac{1442754782650125}{14869406}\cdot t^{19}-\frac{46859866117931475}{29738812}\cdot t^{17}+\frac{251472605792295825}{14869406}\cdot t^{15}-\frac{3561089553744699375}{29738812}\cdot t^{13}+\frac{130653510803593493625}{237910496}\cdot t^{11}-\frac{748149899512544904375}{475820992}\cdot t^9+\frac{1256151019405633225875}{475820992}\cdot t^7-\frac{2225297873951127100125}{951641984}\cdot t^5+\frac{3420815427182802796875}{3806567936}\cdot t^3-\frac{722954091795475483125}{7613135872}\cdot t$

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.