I have a scaled probabilist's Hermite polynomial: \begin{equation} H_n(ax)e^{-bx^2} \end{equation} where $a$ and $b$ are both complex numbers. What is the asymptotic limit of this expression as $n \to \infty$? Thank you in advance!
2026-03-25 22:26:00.1774477560
Asymptotic expansion of scaled Hermite polynomial
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