Rule: Q[30]

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.

• $P_1$:
  $1073741824\cdot t^{30}-233538846720\cdot t^{28}+22069421015040\cdot t^{26}-1195426971648000\cdot t^{24}+41242230521856000\cdot t^{22}-952695525054873600\cdot t^{20}+15084345813368832000\cdot t^{18}-164850350674673664000\cdot t^{16}+1236377630060052480000\cdot t^{14}-6250575796414709760000\cdot t^{12}+20626900128168542208000\cdot t^{10}-42191386625799290880000\cdot t^8+49223284396765839360000\cdot t^6-28398048690441830400000\cdot t^4+6085296147951820800000\cdot t^2-202843204931727360000$

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.