Superexponential Definition
adjective
(mathematics, of a real-valued function f on the non-negative real numbers) Having the properties that f(0) = 1 and that f(g)f(h) ≤ f(g+h) ∀ g, h ≥ 0.
Wiktionary
Origin of Superexponential
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From super- + exponential; so called because such a function approximates an exponential function from above.
From Wiktionary
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