Rule: Q[48]

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.

• $P_1$:
  $281474976710656\cdot t^{48}-158751886864809984\cdot t^{46}+41077050726269583360\cdot t^{44}-6476481664508504309760\cdot t^{42}+697031339142727776337920\cdot t^{40}-54368444453132766554357760\cdot t^{38}+3185084704212694573976125440\cdot t^{36}-143328811689571255828925644800\cdot t^{34}+5025466459865592157501705420800\cdot t^{32}-138479520227407428340046993817600\cdot t^{30}+3011929564946111566396022115532800\cdot t^{28}-51750426161346826004440743621427200\cdot t^{26}+700787020934904935476801736540160000\cdot t^{24}-7439123760693606238138356895580160000\cdot t^{22}+61372771025722251464641444388536320000\cdot t^{20}-388694216496240925942729147794063360000\cdot t^{18}+1858444222622651927163673737890365440000\cdot t^{16}-6559214903374065625283554369024819200000\cdot t^{14}+16580237672417776997244540210590515200000\cdot t^{12}-28797254904725612679424727734183526400000\cdot t^{10}+32396911767816314264352818700956467200000\cdot t^8-21597941178544209509568545800637644800000\cdot t^6+7362934492685525969171095159308288000000\cdot t^4-960382759915503387283186325127168000000\cdot t^2+20007974164906320568399715106816000000$

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.