Rule: Q[50]

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.

• $P_1$:
  $t^{50}-1225\cdot t^{48}+690900\cdot t^{46}-238360500\cdot t^{44}+56372258250\cdot t^{42}-9707302870650\cdot t^{40}+1261949373184500\cdot t^{38}-126735772764100500\cdot t^{36}+9980442105172914375\cdot t^{34}-622114224555778329375\cdot t^{32}+30856865537966605137000\cdot t^{30}-1220248773546861203145000\cdot t^{28}+38437836366726127899067500\cdot t^{26}-960945909168153197476687500\cdot t^{24}+18944362209315020178826125000\cdot t^{22}-291743178023451310753922325000\cdot t^{20}+3464450239028484315202827609375\cdot t^{18}-31180052151256358836825448484375\cdot t^{16}+207867014341709058912169656562500\cdot t^{14}-995573595005027597947759934062500\cdot t^{12}+3285392863516591073227607782406250\cdot t^{10}-7040127564678409442630588105156250\cdot t^8+8960162355045248381529839406562500\cdot t^6-5843584144594727205345547439062500\cdot t^4+1460896036148681801336386859765625\cdot t^2-58435841445947272053455474390625$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Hermite (probabilists') type can be downloaded here packed into a single file.