Half-exponential function

In mathematics, a half-exponential function is a functional square root of an exponential function. That is, a function f {\displaystyle f} such that f {\displaystyle f} composed with itself results in an exponential function: f ( f ( x ) ) = a b x , {\displaystyle f{\bigl (}f(x){\bigr )}=ab^{x},} for some constants a {\displaystyle a} and b {\displaystyle b} .

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