Rule: Q[13, 22]

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.

• $P_1$:
  $8192\cdot t^{13}-319488\cdot t^{11}+4392960\cdot t^9-26357760\cdot t^7+69189120\cdot t^5-69189120\cdot t^3+17297280\cdot t$
• $P_2$:
  $8192\cdot t^{35}-\frac{426736527060992}{223695465}\cdot t^{33}+\frac{101883866546941952}{521956085}\cdot t^{31}-\frac{1211749991572961280}{104391217}\cdot t^{29}+\frac{46690940001193196544}{104391217}\cdot t^{27}-\frac{1230779197123886919168}{104391217}\cdot t^{25}+\frac{22850603990268175325952}{104391217}\cdot t^{23}-\frac{303196293177691542380928}{104391217}\cdot t^{21}+\frac{412646919860131774709760}{14913031}\cdot t^{19}-\frac{2813100248993670126279360}{14913031}\cdot t^{17}+\frac{13572508274732526716211120}{14913031}\cdot t^{15}-\frac{45453510730716871389635160}{14913031}\cdot t^{13}+\frac{102539333601023218321104540}{14913031}\cdot t^{11}-\frac{148989298097147016195665550}{14913031}\cdot t^9+\frac{130202704547271829486760175}{14913031}\cdot t^7-\frac{17482543304387570834364225}{4260866}\cdot t^5+\frac{14344888314278558359612575}{17043464}\cdot t^3-\frac{1557077815890323403759225}{34086928}\cdot t$

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.