Rule: Q[41]

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.

• $P_1$:
  $t^{41}-820\cdot t^{39}+303810\cdot t^{37}-67445820\cdot t^{35}+10032565725\cdot t^{33}-1059438940560\cdot t^{31}+82106517893400\cdot t^{29}-4762178037817200\cdot t^{27}+208940561409229650\cdot t^{25}-6964685380307655000\cdot t^{23}+176206540121783671500\cdot t^{21}-3363943038688597365000\cdot t^{19}+47936188301312512451250\cdot t^{17}-501486277613730899490000\cdot t^{15}+3761147082102981746175000\cdot t^{13}-19557964826935505080110000\cdot t^{11}+67230504092590798712878125\cdot t^9-142370479254898161980212500\cdot t^7+166098892464047855643581250\cdot t^5-87420469717919924022937500\cdot t^3+13113070457687988603440625\cdot t$

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.