Some classes of completely monotonic functions

By Horst Alzer, Christian Berg. 2002

136 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/41d4c8619fbf324c207009dec04cc86401d5bf85

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Citations in the corpus

Some classes of completely monotonic functions, II (2006, background): “[41], [42], [13] as well as in recent work [5], [10].”
Bounds for modified Bessel functions of the first and second kinds (2010, background): “For more information on complete monotonicity, the interested reader is referred to [1, 2, 39, 57, 79] and the references therein.”
Turán type inequalities for hypergeometric functions (2008, background): “For more information on complete monotonicity the interested reader is referred to the papers [1], [20] and to the references therein.”
Bounds for the Ratio of Two Gamma Functions (2009, background): “In [53, 55], it was showed that the function gβ(x) is logarithmically completely monotonic if and only if β ≥ 1 and that the function [gα,β(x)]−1 is logarithmically completely monotonic if and only if β ≤ 1 2 .”
The Dagum family of isotropic correlation functions (2007, background): “The Dagum family of isotropic correlation functions 1139 We define the function c : [1,2]→ [0,∞[ as follows: c(β) = inf{α≥ 0 | fα,β ∈ C}.”
Some completely monotonic functions involving the gamma and polygamma functions (2006, unknown): “Some related references are listed in [1].”
Complete Monotonicities of Functions Involving the Gamma and Digamma Functions (2004, unknown): “As a direct consequence of combining Theorem 1 with Theorem 4, we have the following corollary. is strictly completely monotonic with In [3] and [4, p. 83], the following result was given: Let f and g be functions such that f ◦ g is deﬁned.”