Rule: Q[2, 5, 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.

• $P_1$:
  $4\cdot t^2-2$
• $P_2$:
  $4\cdot t^7-\frac{106}{3}\cdot t^5+\frac{215}{3}\cdot t^3-\frac{55}{2}\cdot t$
• $P_3$:
  $4\cdot t^{31}-\frac{193315083164302897574735353502}{245453218400091920776940445}\cdot t^{29}+\frac{16525784320411178110137554287243}{245453218400091920776940445}\cdot t^{27}-\frac{540039099972192259946823127602279}{163635478933394613851293630}\cdot t^{25}+\frac{6756917853779025669084479334295455}{65454191573357845540517452}\cdot t^{23}-\frac{40595088809386224908564905755364635}{18701197592387955868719272}\cdot t^{21}+\frac{1178205960512932611330713531009743215}{37402395184775911737438544}\cdot t^{19}-\frac{23852244649500030519836924678879492745}{74804790369551823474877088}\cdot t^{17}+\frac{336467457528962278004654997588483422655}{149609580739103646949754176}\cdot t^{15}-\frac{3267362881668834906997293857098828883925}{299219161478207293899508352}\cdot t^{13}+\frac{21302598534616197849725834520688607676825}{598438322956414587799016704}\cdot t^{11}-\frac{89362716720645198654683411072553147547575}{1196876645912829175598033408}\cdot t^9+\frac{32138068803752257768465039917519303629925}{341964755975094050170866688}\cdot t^7-\frac{43202649335807960445596863464308613916575}{683929511950188100341733376}\cdot t^5+\frac{25031976048061962234911105259205584205875}{1367859023900376200683466752}\cdot t^3-\frac{3822577331156843962680063363436679359125}{2735718047800752401366933504}\cdot t$

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.