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New bounds on the Hermite polynomials

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 نشر من قبل Ilia Krasikov
 تاريخ النشر 2004
  مجال البحث
والبحث باللغة English
 تأليف Ilia Krasikov




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We shall establish two-side explicit inequalities, which are asymptotically sharp up to a constant factor, on the maximum value of $|H_k(x)| e^{-x^2/2},$ on the real axis, where $H_k$ are the Hermite polynomials.



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