Rule: Q[15, 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.

• $P_1$:
  $32768\cdot t^{15}-1720320\cdot t^{13}+33546240\cdot t^{11}-307507200\cdot t^9+1383782400\cdot t^7-2905943040\cdot t^5+2421619200\cdot t^3-518918400\cdot t$
• $P_2$:
  $32768\cdot t^{39}-\frac{1016040660713472}{111167107}\cdot t^{37}+\frac{630994126762647552}{555835535}\cdot t^{35}-\frac{9248460482805469184}{111167107}\cdot t^{33}+\frac{446768535407265189888}{111167107}\cdot t^{31}-\frac{15057384665567210588160}{111167107}\cdot t^{29}+\frac{365597199828670472678400}{111167107}\cdot t^{27}-\frac{6512733849164472302833152}{111167107}\cdot t^{25}+\frac{85906739484016391551564800}{111167107}\cdot t^{23}-\frac{841118118270995438100057600}{111167107}\cdot t^{21}+\frac{6092731380313010017059552000}{111167107}\cdot t^{19}-\frac{32361114819521421274283712000}{111167107}\cdot t^{17}+\frac{124156291652178734669144886000}{111167107}\cdot t^{15}-\frac{336436589296583027941144995000}{111167107}\cdot t^{13}+\frac{623434871234905196629795132500}{111167107}\cdot t^{11}-\frac{754023031254233747019995231250}{111167107}\cdot t^9+\frac{1111063705148282649675579793125}{222334214}\cdot t^7-\frac{895841061297567707935216729125}{444668428}\cdot t^5+\frac{329101417712933649800160519375}{889336856}\cdot t^3-\frac{36802618766800322253517074375}{1778673712}\cdot t$

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.