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Article Dans Une Revue Journal of Computational and Applied Mathematics Année : 2019

Completely monotonic degrees for a difference between the logarithmic and psi functions

Résumé

In the paper, the authors firstly present a concise proof for complete monotonicity of a function involving a difference between the logarithmic and psi functions, secondly compute completely monotonic degree of the above-mentioned function, and finally pose several conjectures on completely monotonic degrees of remainders and their derivatives for the asymptotic formula of the logarithm of the classical Euler gamma function.
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Dates et versions

hal-01728682 , version 1 (11-03-2018)
hal-01728682 , version 2 (19-01-2020)

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Feng Qi, Ai-Qi Liu. Completely monotonic degrees for a difference between the logarithmic and psi functions: A difference between logarithmic and psi functions. Journal of Computational and Applied Mathematics, 2019, 361, pp.366--371. ⟨10.1016/j.cam.2019.05.001⟩. ⟨hal-01728682v2⟩
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