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In combinatorial mathematics, a q-exponential is a q-analog of the exponential function,namely the eigenfunction of a q-derivative. There are many q-derivatives, for example, the classical q-derivative, the Askey-Wilson operator, etc. Therefore, unlike the classical exponentials, q-exponentials are not unique. For example, e q {\displaystyle e_{q}} is the q-exponential corresponding to the classical q-derivative while E q {\displaystyle {\mathcal {E}}_{q}} are eigenfunctions of the Askey-Wilson operators.
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