Rule: Q[44]

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.

• $P_1$:
  $t^{44}-946\cdot t^{42}+407253\cdot t^{40}-105885780\cdot t^{38}+18609425835\cdot t^{36}-2344787655210\cdot t^{34}+219237645762135\cdot t^{32}-15534553185431280\cdot t^{30}+844691329457825850\cdot t^{28}-35477035837228685700\cdot t^{26}+1153003664709932285250\cdot t^{24}-28929910132721937339000\cdot t^{22}+556900770054897293775750\cdot t^{20}-8139318946956191216722500\cdot t^{18}+88951128491735518297038750\cdot t^{16}-711609027933884146376310000\cdot t^{14}+4047276346373966082515263125\cdot t^{12}-15712955227098927143882786250\cdot t^{10}+39282388067747317859706965625\cdot t^8-57889835047206573687989212500\cdot t^6+43417376285404930265991909375\cdot t^4-12404964652972837218854831250\cdot t^2+563862029680583509947946875$

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.