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Complete monotonicity of some specific functions
Author(s): 
Pages: 129-135
Year: Issue:  2
Journal: Pure and Applied Mathematics

Keyword:  complete monotonicitylogarithmically completely monotonicitygamma functionPsi functionsu?cient and necessary conditions;
Abstract: The classical Euler gamma function is one of the most important special functions and has many extensive applications in many branches, for example, statistics, physics, engineering and so on. The complete monotonicity play a central role in studying the special functions. In this paper, some complete monotonicity and logarithmically complete monotonicity of some functions involving gamma functions is proved and some su?cient and necessary conditions for some special functions to be completely monotonic or logarithmically completely monotonic are proposed.
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