Rule: Q[1, 34]

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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^{35}-595\cdot t^{33}+78540\cdot t^{31}-6086850\cdot t^{29}+\frac{617815275}{2}\cdot t^{27}-\frac{43370632305}{4}\cdot t^{25}+\frac{1084265807625}{4}\cdot t^{23}-\frac{39188464189875}{8}\cdot t^{21}+\frac{4114788739936875}{64}\cdot t^{19}-\frac{78180986058800625}{128}\cdot t^{17}+\frac{265815352599922125}{64}\cdot t^{15}-\frac{2537328365726529375}{128}\cdot t^{13}+\frac{32985268754444881875}{512}\cdot t^{11}-\frac{139553060114959115625}{1024}\cdot t^9+\frac{179425363004947434375}{1024}\cdot t^7-\frac{251195508206926408125}{2048}\cdot t^5+\frac{1255977541034632040625}{32768}\cdot t^3-\frac{221643095476699771875}{65536}\cdot t$

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.