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Elementary Remarks on Multiply Monotonic Functions and Sequences(1)
Canadian mathematical bulletin, Tome 14 (1971) no. 1, pp. 69-72

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A function f(x) is said to be completely monotonic on (0, ∞) if 1 Familiar examples of such functions are given by f(x) = exp(—αx) and f(x) = (x+β)-α, where α ≥ 0, β ≥ 0. A discussion of completely monotonic functions is given in [5, Ch. IV]. 
Muldoon, M. E. Elementary Remarks on Multiply Monotonic Functions and Sequences(1). Canadian mathematical bulletin, Tome 14 (1971) no. 1, pp. 69-72. doi: 10.4153/CMB-1971-013-5
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     title = {Elementary {Remarks} on {Multiply} {Monotonic} {Functions} and {Sequences(1)}},
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