Rule: Q[28]

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.

• $P_1$:
  $268435456\cdot t^{28}-50734301184\cdot t^{26}+4122161971200\cdot t^{24}-189619450675200\cdot t^{22}+5475261638246400\cdot t^{20}-104029971126681600\cdot t^{18}+1326382131865190400\cdot t^{16}-11368989701701632000\cdot t^{14}+64661128928428032000\cdot t^{12}-237090806070902784000\cdot t^{10}+533454313659531264000\cdot t^8-678941853748494336000\cdot t^6+424338658592808960000\cdot t^4-97924305829109760000\cdot t^2+3497296636753920000$

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.