2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111412The connections between q-Bessel functions of three types and q-exponential of three types are established. The q-exponentials and the q-Bessel functions are represented as the Laurent series. The asymptotic behaviour of the q-exponentials and the q-Bessel functions is investigated.Quantum AlgebraThe asymptotic behavior of q-exponentials and q-Bessel functionstext