Details

Autor(en) / Beteiligte

• Miller, K.S.
• Samko, S.G.

Titel

Completely monotonic functions

Ist Teil von

• Integral transforms and special functions, 2001-12, Vol.12 (4), p.389-402

Ort / Verlag

Gordon and Breach Science Publishers

Erscheinungsjahr

2001

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this expository article we survey some properties of completely monotonic functions and give various examples, including some famous special functions. Such function are useful, for example, in probability theory. It is known, [1, p.450], for example, that a function w is the Laplace transform of an infinitely divisible probability distribution on (0,∞), if and only if w = e -h , where the derivative of h is completely monotonic and h(0+) = 0.