Rule: Q[4, 29]

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.

• $P_1$:
  $t^4-6\cdot t^2+3$
• $P_2$:
  $t^{33}-\frac{3103716825172866549}{6594497324768119}\cdot t^{31}+\frac{15967748612655295901346}{164862433119202975}\cdot t^{29}-\frac{1897467523807772697847101}{164862433119202975}\cdot t^{27}+\frac{11143965705436400220238176}{12681725624554075}\cdot t^{25}-\frac{23027323480469799204456729}{507269024982163}\cdot t^{23}+\frac{825808497622028022398820678}{507269024982163}\cdot t^{21}-\frac{20767152059304545103623676801}{507269024982163}\cdot t^{19}+\frac{365688963337255623544144162266}{507269024982163}\cdot t^{17}-\frac{4456613667780268932301098239043}{507269024982163}\cdot t^{15}+\frac{36747180195676159279411673161830}{507269024982163}\cdot t^{13}-\frac{197700635846725100154623754431235}{507269024982163}\cdot t^{11}+\frac{656353087944061370531188264224480}{507269024982163}\cdot t^9-\frac{1232193814059293061364710130163355}{507269024982163}\cdot t^7+\frac{1129618865199628027080955617840090}{507269024982163}\cdot t^5-\frac{380249454835700665384917576888675}{507269024982163}\cdot t^3+\frac{21319584031338563129540929715475}{507269024982163}\cdot t$

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.