Rule: Q[2, 3, 26]

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.

• $P_1$:
  $4\cdot t^2-2$
• $P_2$:
  $4\cdot t^5-14\cdot t^3+6\cdot t$
• $P_3$:
  $4\cdot t^{31}-\frac{465321135547626582930907}{562534885996936803788}\cdot t^{29}+\frac{83451340490287791822560481}{1125069771993873607576}\cdot t^{27}-\frac{535087880801081051314861575}{140633721499234200947}\cdot t^{25}+\frac{279174002128220793921997459725}{2250139543987747215152}\cdot t^{23}-\frac{24339265627198042613297436241725}{9000558175950988860608}\cdot t^{21}+\frac{726288708519777768435429617533275}{18001116351901977721216}\cdot t^{19}-\frac{47618408139822641942622016139925}{114656792050331068288}\cdot t^{17}+\frac{52870109639147194416021740041426125}{18001116351901977721216}\cdot t^{15}-\frac{2024136949495866312172628827326187125}{144008930815215821769728}\cdot t^{13}+\frac{12761667593438502307307959750293138375}{288017861630431643539456}\cdot t^{11}-\frac{12706147588452267480645347583157182375}{144008930815215821769728}\cdot t^9+\frac{59985147285282691999285948513815616125}{576035723260863287078912}\cdot t^7-\frac{151708174846833323334165697016636641875}{2304142893043453148315648}\cdot t^5+\frac{85738431503892957321157157245256668125}{4608285786086906296631296}\cdot t^3-\frac{7055361137735873206993013403969455625}{4608285786086906296631296}\cdot t$

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.