It's standard to denote an unevaluated function $f:X\rightarrow Y$ simply by "$f$" (that is, the function itself, rather than its value at a given point).
But say we have an expression such as $z e^{az}$. Is there a standard way to denote the implied function (i.e. without variables), rather than simply the function evaluated at $z$? I suppose one option would be $(z\mapsto z e^{az})$, but this is mildly unwieldy.
For example if I wanted to express the Laplace transform of the function implied by $ze^{az}$, it wouldn't be quite right to write $\mathcal{L}(ze^{az})$ because represents a number "$ze^{az}$" rather than the function itself.
Thanks in advance!
As @parsiad comments, there is a standard for "anonymous" functions, namely $z\to ze^{az}$ in this case. But/and, yes, people mostly will understand that "$ze^{az}$" means that function.
Unsurprisingly, in some cases there can be ambiguities, so more needs to be said to set the context adequately for your readers/audience. :)