Rule: Q[1, 32]

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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^{33}-528\cdot t^{31}+61380\cdot t^{29}-4153380\cdot t^{27}+\frac{364459095}{2}\cdot t^{25}-5466886425\cdot t^{23}+\frac{461040755175}{4}\cdot t^{21}-\frac{6915611327625}{4}\cdot t^{19}+\frac{1182569537023875}{64}\cdot t^{17}-\frac{2233742458822875}{16}\cdot t^{15}+\frac{46908591635280375}{64}\cdot t^{13}-\frac{166312279434175875}{64}\cdot t^{11}+\frac{3049058456293224375}{512}\cdot t^9-\frac{2110886623587616875}{256}\cdot t^7+\frac{6332659870762850625}{1024}\cdot t^5-\frac{2110886623587616875}{1024}\cdot t^3+\frac{6332659870762850625}{32768}\cdot t$

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.