Rule: Q[17, 28]

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.

• $P_1$:
  $t^{17}-136\cdot t^{15}+7140\cdot t^{13}-185640\cdot t^{11}+2552550\cdot t^9-18378360\cdot t^7+64324260\cdot t^5-91891800\cdot t^3+34459425\cdot t$
• $P_2$:
  $t^{45}-\frac{437043667621911734}{543076105530597}\cdot t^{43}+\frac{74934495009974702599}{257246576303967}\cdot t^{41}-\frac{307850324217720039064876}{4887684949775373}\cdot t^{39}+\frac{44533267916315144809389911}{4887684949775373}\cdot t^{37}-\frac{13721957282944178055707950394}{14663054849326119}\cdot t^{35}+\frac{1036416474319522765749983733485}{14663054849326119}\cdot t^{33}-\frac{19609556410234545164031632650640}{4887684949775373}\cdot t^{31}+\frac{847686302560343426152480458160210}{4887684949775373}\cdot t^{29}-\frac{1479716590749413828361854076512740}{257246576303967}\cdot t^{27}+\frac{26572238906909343775188019818049190}{181025368510199}\cdot t^{25}-\frac{521178389189577930175561250541487000}{181025368510199}\cdot t^{23}+\frac{7819473567718568023740984636726852250}{181025368510199}\cdot t^{21}-\frac{4683009993014726982858144617949727500}{9527650974221}\cdot t^{19}+\frac{39897657767627268365100444569487768750}{9527650974221}\cdot t^{17}-\frac{249940485048907143197631580161916410000}{9527650974221}\cdot t^{15}+\frac{1123036671520224205242425136711878000625}{9527650974221}\cdot t^{13}-\frac{3497210572105777995402590169027092328750}{9527650974221}\cdot t^{11}+\frac{7189897628627433272298320071317771575625}{9527650974221}\cdot t^9-\frac{9072674548466232550802360729855978947500}{9527650974221}\cdot t^7+\frac{6219205748323418114443922714143824526875}{9527650974221}\cdot t^5-\frac{1809189523529778260460431823800962893750}{9527650974221}\cdot t^3+\frac{109505253801035390420274266693525821875}{9527650974221}\cdot t$

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.