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Article Dans Une Revue Acta Mathematica Scientia Année : 2022

Complete monotonicity for a new ratio of finitely many gamma functions

Résumé

In the paper, by deriving an inequality involving the generating function of the Bernoulli numbers, the author introduces a new ratio of finitely many gamma functions, finds complete monotonicity of the second logarithmic derivative of the ratio, and simply reviews the complete monotonicity of several linear combinations of finitely many digamma or trigamma functions.
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Dates et versions

hal-02511909 , version 1 (19-03-2020)
hal-02511909 , version 2 (03-02-2022)

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Feng Qi. Complete monotonicity for a new ratio of finitely many gamma functions. Acta Mathematica Scientia, 2022, 42B (2), pp.511--520. ⟨10.1007/s10473-022-0206-9⟩. ⟨hal-02511909v2⟩
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