Rule: Q[15, 26]

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.

• $P_1$:
  $t^{15}-105\cdot t^{13}+4095\cdot t^{11}-75075\cdot t^9+675675\cdot t^7-2837835\cdot t^5+4729725\cdot t^3-2027025\cdot t$
• $P_2$:
  $t^{41}-\frac{22833095501}{29775546}\cdot t^{39}+\frac{43032537434107}{168728094}\cdot t^{37}-\frac{8304039802133725}{168728094}\cdot t^{35}+\frac{3136019764574738405}{506184282}\cdot t^{33}-\frac{45637553363092736045}{84364047}\cdot t^{31}+\frac{318279662003627429105}{9373783}\cdot t^{29}-\frac{132035441989742569212935}{84364047}\cdot t^{27}+\frac{502649899038914541839925}{9373783}\cdot t^{25}-\frac{12871348339250353573120500}{9373783}\cdot t^{23}+\frac{246331087700946213718252500}{9373783}\cdot t^{21}-\frac{184513901185836794154082500}{493357}\cdot t^{19}+\frac{113717821502348292385406250}{29021}\cdot t^{17}-\frac{863306759551137794893625625}{29021}\cdot t^{15}+\frac{4640525842657720742454853125}{29021}\cdot t^{13}-\frac{17091847151835262339835176875}{29021}\cdot t^{11}+\frac{41155714014015301256623567500}{29021}\cdot t^9-\frac{120914547492846549612221926875}{58042}\cdot t^7+\frac{97380998467467210486349734375}{58042}\cdot t^5-\frac{35895439572223163460743840625}{58042}\cdot t^3+\frac{4080072969924076582065984375}{58042}\cdot t$

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.