Rule: Q[40]

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.

• $P_1$:
  $1099511627776\cdot t^{40}-428809534832640\cdot t^{38}+75363275746836480\cdot t^{36}-7913143953417830400\cdot t^{34}+554909219733425356800\cdot t^{32}-27523497298777897697280\cdot t^{30}+997726777080698791526400\cdot t^{28}-26938622981178867371212800\cdot t^{26}+547190779305195743477760000\cdot t^{24}-8390258616013001399992320000\cdot t^{22}+96907487014950166169911296000\cdot t^{20}-836928296947296889649233920000\cdot t^{18}+5335417893039017671513866240000\cdot t^{16}-24625005660180081560833228800000\cdot t^{14}+80031268395585265072707993600000\cdot t^{12}-176068790470287583159957585920000\cdot t^{10}+247596736598841913818690355200000\cdot t^8-203903194846105105497744998400000\cdot t^6+84959664519210460624060416000000\cdot t^4-13414683871454283256430592000000\cdot t^2+335367096786357081410764800000$

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.