Rule: Q[42]

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.

• $P_1$:
  $t^{42}-861\cdot t^{40}+335790\cdot t^{38}-78686790\cdot t^{36}+12393169425\cdot t^{34}-1390513609485\cdot t^{32}+114949125050760\cdot t^{30}-7143267056725800\cdot t^{28}+337519368430294050\cdot t^{26}-12188199415538396250\cdot t^{24}+336394303868859736500\cdot t^{22}-7064280381246054466500\cdot t^{20}+111851106036395862386250\cdot t^{18}-1316401478736043611161250\cdot t^{16}+11283441246308945238525000\cdot t^{14}-68452876894274267780385000\cdot t^{12}+282368117188881354594088125\cdot t^{10}-747445016088215350396115625\cdot t^8+1162692247248334989505068750\cdot t^6-917914932038159202240843750\cdot t^4+275374479611447760672253125\cdot t^2-13113070457687988603440625$

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.