Rule: Q[10, 15]

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.

• $P_1$:
  $1024\cdot t^{10}-23040\cdot t^8+161280\cdot t^6-403200\cdot t^4+302400\cdot t^2-30240$
• $P_2$:
  $1024\cdot t^{25}-\frac{52397120000}{485553}\cdot t^{23}+\frac{763839596800}{161851}\cdot t^{21}-\frac{18195211529600}{161851}\cdot t^{19}+\frac{260663283104000}{161851}\cdot t^{17}-\frac{2341398524767680}{161851}\cdot t^{15}+\frac{13345506556183200}{161851}\cdot t^{13}-\frac{47809367049116400}{161851}\cdot t^{11}+\frac{104448305889427500}{161851}\cdot t^9-\frac{131691652450107750}{161851}\cdot t^7+\frac{87203047569162525}{161851}\cdot t^5-\frac{50465513591868375}{323702}\cdot t^3+\frac{170125299469125}{14074}\cdot t$

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.