Geodesic
A Note on Completely and Absolutely Monotone Functions
Canadian mathematical bulletin, Tome 25 (1982) no. 2, pp. 143-148

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DOI

The solutions of a certain class of first order linear differential equations are shown to be either completely or absolutely monotone depending on the nature of its coefficients. This is a simple theorem which is used to deduce a number of new and interesting results dealing with the complete and absolute monotonicity of functions. In particular, a partial answer is supplied to a question posed by Askey and Pollard: “When is completely monotone?”
DOI : 10.4153/CMB-1982-020-x
Mots-clés : 26D15, 34A10, 33A15, 33A40, Completely monotone, absolutely monotone, Inequalities, Bessel functions, gamma functions 
Mahajan, Arvind; Ross, Dieter K. A Note on Completely and Absolutely Monotone Functions. Canadian mathematical bulletin, Tome 25 (1982) no. 2, pp. 143-148. doi: 10.4153/CMB-1982-020-x
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     title = {A {Note} on {Completely} and {Absolutely} {Monotone} {Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {143--148},
     year = {1982},
     volume = {25},
     number = {2},
     doi = {10.4153/CMB-1982-020-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-020-x/}
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