Half-exponential function: Difference between revisions

Revision as of 02:37, 14 September 2022

Revision as of 20:23, 14 November 2022

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In [[mathematics]], a '''half-exponential function''' is a [[functional square root]] of an [[exponential function]], that is, a [[function (mathematics)|function]] <math>f</math> that, ifwhen [[function composition|composed]] with itself, results in an exponential function:{{r|sqrtexp|miltersen}}

<math display=block>f\bigl(f(x)\bigr) = ab^x,</math>

for some constants {{nowrap|<math>a</math> and <math>b</math>.}}