Rule: Q[47]

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.

• $P_1$:
  $140737488355328\cdot t^{47}-76068612456054784\cdot t^{45}+18826981582873559040\cdot t^{43}-2833460728222470635520\cdot t^{41}+290429724642803240140800\cdot t^{39}-21520842596031720094433280\cdot t^{37}+1194406764079760465241047040\cdot t^{35}-50762287473389819772744499200\cdot t^{33}+1675155486621864052500568473600\cdot t^{31}-43274850071064821356264685568000\cdot t^{29}+878479456442615873532173117030400\cdot t^{27}-14015740418698098709536034730803200\cdot t^{25}+175196755233726233869200434135040000\cdot t^{23}-1704799195158951429573373455237120000\cdot t^{21}+12785993963692135721800300914278400000\cdot t^{19}-72880165593045173614261715211386880000\cdot t^{17}+309740703770441987860612289648394240000\cdot t^{15}-956552173408717903687185012149452800000\cdot t^{13}+2072529709052222124655567526323814400000\cdot t^{11}-2999714052575584654106742472310784000000\cdot t^9+2699742647318026188696068225079705600000\cdot t^7-1349871323659013094348034112539852800000\cdot t^5+306788937195230248715462298304512000000\cdot t^3-20007974164906320568399715106816000000\cdot t$

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.