Rule: Q[46]

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.

• $P_1$:
  $70368744177664\cdot t^{46}-36415825111941120\cdot t^{44}+8612342638974074880\cdot t^{42}-1235871168692779745280\cdot t^{40}+120497438947546025164800\cdot t^{38}-8470969958012485569085440\cdot t^{36}+444725922795655492376985600\cdot t^{34}-17820803049168766515963494400\cdot t^{32}+552444894524231761994868326400\cdot t^{30}-13350751617668934248209317888000\cdot t^{28}+252329205573942857291156108083200\cdot t^{26}-3727590536887792209982987960320000\cdot t^{24}+42867291174209610414804361543680000\cdot t^{22}-380859394663170000223838750638080000\cdot t^{20}+2584403035214367858661762950758400000\cdot t^{18}-13180455479593276079174991048867840000\cdot t^{16}+49426708048474785296906216433254400000\cdot t^{14}-132289130365035454765248991041945600000\cdot t^{12}+242530072335898333736289816910233600000\cdot t^{10}-287206664608300658371922151604224000000\cdot t^8+201044665225810460860345506122956800000\cdot t^6-71801666152075164592980537901056000000\cdot t^4+9791136293464795171770073350144000000\cdot t^2-212850788988365112429784203264000000$

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.