Rule: Q[39]

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.

• $P_1$:
  $549755813888\cdot t^{39}-203684529045504\cdot t^{37}+33913474086076416\cdot t^{35}-3363086180202577920\cdot t^{33}+221963687893370142720\cdot t^{31}-10321311487041711636480\cdot t^{29}+349204371978244577034240\cdot t^{27}-8755052468883131895644160\cdot t^{25}+164157233791558723043328000\cdot t^{23}-2307321119403575384997888000\cdot t^{21}+24226871753737541542477824000\cdot t^{19}-188308866813141800171077632000\cdot t^{17}+1067083578607803534302773248000\cdot t^{15}-4309375990531514273145815040000\cdot t^{13}+12004690259337789760906199040000\cdot t^{11}-22008598808785947894994698240000\cdot t^9+24759673659884191381869035520000\cdot t^7-15292739613457882912330874880000\cdot t^5+4247983225960523031203020800000\cdot t^3-335367096786357081410764800000\cdot t$

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.