Rule: Q[20, 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.

• $P_1$:
  $t^{20}-190\cdot t^{18}+14535\cdot t^{16}-581400\cdot t^{14}+13226850\cdot t^{12}-174594420\cdot t^{10}+1309458150\cdot t^8-5237832600\cdot t^6+9820936125\cdot t^4-6547290750\cdot t^2+654729075$
• $P_2$:
  $t^{49}-\frac{5958374385506986850975968758529}{7221058742728048922645934429}\cdot t^{47}+\frac{2242108027347493733308480543607722}{7221058742728048922645934429}\cdot t^{45}-\frac{56788971336519400679616600394245205}{802339860303116546960659381}\cdot t^{43}+\frac{8786852684760492565232282400749808130}{802339860303116546960659381}\cdot t^{41}-\frac{980031953035821035429414546388678404995}{802339860303116546960659381}\cdot t^{39}+\frac{81680967433251811388339818152498903284970}{802339860303116546960659381}\cdot t^{37}-\frac{5204791011863389455995062372097667657336135}{802339860303116546960659381}\cdot t^{35}+\frac{257325467390169845877288014191393128979163175}{802339860303116546960659381}\cdot t^{33}-\frac{9961784544658468215841936745386568824927291050}{802339860303116546960659381}\cdot t^{31}+\frac{303484621721884995295181390281984204267421243700}{802339860303116546960659381}\cdot t^{29}-\frac{7287536305814358131489006820705245151522890664450}{802339860303116546960659381}\cdot t^{27}+\frac{137742356916334230331236893469878780458058725781100}{802339860303116546960659381}\cdot t^{25}-\frac{2040547466918973509055762888460581987365127607413750}{802339860303116546960659381}\cdot t^{23}+\frac{23521966816801009613134594108759486756478724564382500}{802339860303116546960659381}\cdot t^{21}-\frac{208767741047602931011185987394560649846234413308898750}{802339860303116546960659381}\cdot t^{19}+\frac{1406121267936900258087989250101548806660652447879051875}{802339860303116546960659381}\cdot t^{17}-\frac{7048708187356766256410497840693574970711855617204518125}{802339860303116546960659381}\cdot t^{15}+\frac{25622194456870373629305276647334396345899656183633331250}{802339860303116546960659381}\cdot t^{13}-\frac{65187752952349132463428806615723968530336977919813565625}{802339860303116546960659381}\cdot t^{11}+\frac{110445671954530667118754169307541411568974269524039231250}{802339860303116546960659381}\cdot t^9-\frac{115751225666324556011788178195976064045077985823870184375}{802339860303116546960659381}\cdot t^7+\frac{66692121631783846590784150847261913416277804470148131250}{802339860303116546960659381}\cdot t^5-\frac{17162252197169927508468063833962649263473437775233296875}{802339860303116546960659381}\cdot t^3+\frac{1279859128938081913908961497320531987031420297621890625}{802339860303116546960659381}\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.