Rule: Q[1, 50]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{51}-1275\cdot t^{49}+749700\cdot t^{47}-270141900\cdot t^{45}+66860120250\cdot t^{43}-12074937717150\cdot t^{41}+1650241488010500\cdot t^{39}-174689848945111500\cdot t^{37}+14542929924680532375\cdot t^{35}-961449256131657418125\cdot t^{33}+50764520723751511677000\cdot t^{31}-2145954739685859357255000\cdot t^{29}+72604802026038241587127500\cdot t^{27}-1960329654703032522852442500\cdot t^{25}+42007064029350696918266625000\cdot t^{23}-708519146628381754688097075000\cdot t^{21}+9299313799497510530281274109375\cdot t^{19}-93540156453769076510476345453125\cdot t^{17}+706747848761810800301376832312500\cdot t^{15}-3905711795788954422718135125937500\cdot t^{13}+15232276003576922248600726991156250\cdot t^{11}-39894056199844320174906665929218750\cdot t^9+65281182872472523922574544247812500\cdot t^7-59604558274866217494524583878437500\cdot t^5+24835232614527590622718576616015625\cdot t^3-2980227913743310874726229193921875\cdot t$

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.