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- where \(\mathrm{HermiteH}\) is the [[Hermite polynomial]] Assume some large natural number \(N\). Let \(x_n=\sqrt{\pi/N}~ n\).6 KB (915 words) - 18:26, 30 July 2019
- ...available for the complex double variables. The following increase of the number of terms in the asymptotic expansion does not allow to extend the range of \(H_n\!=\)[[HermiteH]]\(_n\) is the \(nth\) [[Hermite polynomial]],6 KB (883 words) - 18:44, 30 July 2019
- here, [[HermiteH]]\(_n\) denotes the \(n\)th [[Hermite polynomial]] and \(N_n\) is its norm. For given number \(n\) of the oscillator function, In fomulas, this function can be denoted6 KB (770 words) - 18:44, 30 July 2019
- [[File:Hermiten.jpg|300px|thumb| Normalised [[Hermite polynomial]]s, \(y=h_n(x)\) for \(n=2,3,4,5,6\)]] [[Hermite polynomial]] appears at the solution of the [[Stationary Schroedinger equat4 KB (628 words) - 18:47, 30 July 2019
- ...appened to be useful for the analysis of the asymptotic behaviour of the [[Hermite Gauss mode]]s, [[oscillator function]]s, and in particular, the [[Amplitude [[Hermite Gauss mode]],3 KB (478 words) - 18:43, 30 July 2019
- [[Gauss-Hermite quadrature]], real number, \(a<b\); some of them may be also infinite, \(a=-\infty\), or \(b=\infty\)6 KB (918 words) - 18:47, 30 July 2019
- through the [[Hermite polynomial]] ...de and period of these oscillations slowly decrease at the increase of the number \(n\).6 KB (846 words) - 18:47, 30 July 2019