Rule: Q[4, 26]

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.

• $P_1$:
  $16\cdot t^4-48\cdot t^2+12$
• $P_2$:
  $16\cdot t^{30}-\frac{44415116660718776}{14034565486637}\cdot t^{28}+\frac{41787292089133003284}{154380220353007}\cdot t^{26}-\frac{2037902437254525232950}{154380220353007}\cdot t^{24}+\frac{2736181514635588869525}{6712183493609}\cdot t^{22}-\frac{10219444445714530223925}{1220396998838}\cdot t^{20}+\frac{285672334235558196305925}{2440793997676}\cdot t^{18}-\frac{5466076290997159029376275}{4881587995352}\cdot t^{16}+\frac{71094019363512913815854625}{9763175990704}\cdot t^{14}-\frac{616457662947059781468859875}{19526351981408}\cdot t^{12}+\frac{3444381417064654515554980875}{39052703962816}\cdot t^{10}-\frac{11747550342411579500016337125}{78105407925632}\cdot t^8+\frac{22435126401148897969032625125}{156210815851264}\cdot t^6-\frac{20712361223497629609450174375}{312421631702528}\cdot t^4+\frac{6902164669750959186681114375}{624843263405056}\cdot t^2-\frac{344707237908050990670140625}{1249686526810112}$

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.