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Article Dans Une Revue Mathematical Inequalities & Applications Année : 2022

Bounds for completely monotonic degrees of remainders in asymptotic expansions of the digamma function

Mansour M. Mahmad Mahmoud
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Résumé

Motivated by several conjectures posed in the paper "F. Qi and A.-Q. Liu, Completely monotonic degrees for a difference between the logarithmic and psi functions, J. Comput. Appl. Math., vol. 361 (2019), 366--371; available online at https://doi.org/10.1016/j.cam.2019.05.001'', the authors bound several completely monotonic degrees of the remainders in the asymptotic expansions of the logarithm of the gamma function and in the asymptotic expansions of the logarithm of the digamma function.
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hal-02415224 , version 1 (17-12-2019)
hal-02415224 , version 2 (02-02-2022)

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Mansour M. Mahmad Mahmoud, Feng Qi. Bounds for completely monotonic degrees of remainders in asymptotic expansions of the digamma function. Mathematical Inequalities & Applications, 2022, 25 (1), pp.291--308. ⟨10.7153/mia-2022-25-17⟩. ⟨hal-02415224v2⟩
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