Function Naming

Question

If I have

$$\frac{dx}{d\tau}=x(1-x) -h\frac{x}{a+x}$$

and I want to name this function, is it appropriate to call it $f\left(x, a, h\right)$?

I've seen it done for one parameter, e.g. if just $x$ and $a$ were in the function it would be $f\left(x,a\right)$.

Or should I just not mention the parameters at all?

Thanks.

Answer 1

Of course the expression can be viewed as a function of three variables that is

$$f(x,h,a)=:x(1-x) -h\frac{x}{a+x}$$

but the final choice depends by the context and notably from which ones are defined are variables and which ones are assumed as parameters.

Answer 2

You can use $f(x)$, or, if you want to stress the dependency on "parameters", $f(x;a,h)$. Could also be $f_{a,h}(x)$.