A completely monotonic function is a function 
such that
 |
for 
,
1, 2, .... Such functions occur in areas such as probability theory (Feller 1971),
numerical analysis, and elasticity (Ismail et al. 1986).
Completely Monotonic Function
See also
Complete Convex Function, Monotonic FunctionThis entry contributed by Ronald M. Aarts
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References
Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 2, 3rd ed. New York: Wiley, 1971.Ismail, M. E. H.; Lorch, L.; and Muldon, M. E. "Completely Monotonic Functions Associated with the Gamma Function and Its
-Analogues."
J. Math. Anal. Appl. 116, 1-9, 1986.Widder, D. V.
The
Laplace Transform. Princeton, NJ: Princeton University Press, 1941.Referenced on Wolfram|Alpha
Completely Monotonic FunctionCite this as:
Aarts, Ronald M. "Completely Monotonic Function." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/CompletelyMonotonicFunction.html