2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114102We will use a discrete analogue of the classical Laplace method to show that for infinitely many positive integers $n$, the main term of the asymptotic expansion of the scaled $q$-exponential $(-q^{-nt+1/2}u;q)_{\infty}$ could be expressed in $θ$-function.Classical Analysis and ODEsComplex Variables33D45; 33E05text