Rule: Q[2, 29]

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.

• $P_1$:
  $4\cdot t^2-2$
• $P_2$:
  $4\cdot t^{31}-\frac{7637166998342426}{8675427718359}\cdot t^{29}+\frac{731427901189014673}{8675427718359}\cdot t^{27}-\frac{2979961192200516797}{642624275434}\cdot t^{25}+\frac{209280110943647750825}{1285248550868}\cdot t^{23}-\frac{9870194503096191138875}{2570497101736}\cdot t^{21}+\frac{320278538735533213010175}{5140994203472}\cdot t^{19}-\frac{379414632680613946491075}{541157284576}\cdot t^{17}+\frac{5899723735921362524902725}{1082314569152}\cdot t^{15}-\frac{62409651689843359527000375}{2164629138304}\cdot t^{13}+\frac{436715706392712418855057875}{4329258276608}\cdot t^{11}-\frac{1933180648023233166997564125}{8658516553216}\cdot t^9+\frac{5048348292248712719159516625}{17317033106432}\cdot t^7-\frac{6941557496075557283373319875}{34634066212864}\cdot t^5+\frac{4091493448392391333261344375}{69268132425728}\cdot t^3-\frac{644946308489019778536920625}{138536264851456}\cdot t$

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.