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Pré-Publication, Document De Travail Année : 2019

Completely monotonic degrees of remainders of asymptotic expansions of the digamma function

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. 361 (2019), 366--371; available online at https://doi.org/10.1016/j.cam.2019.05.001], the authors calculate some completely monotonic degrees of remainders of the asymptotic expansion of the logarithm of the gamma function, compute some completely monotonic degrees of remainders of asymptotic expansions of the digamma function, and confirm some conjectures on completely monotonic degrees of remainders of the asymptotic expansion of the logarithm of the gamma function and on completely monotonic degrees of remainders of asymptotic expansions of polygamma functions.
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Dates et versions

hal-02415224 , version 1 (17-12-2019)
hal-02415224 , version 2 (02-02-2022)

Identifiants

  • HAL Id : hal-02415224 , version 1

Citer

Feng Qi, Mansour M. Mahmad Mahmoud. Completely monotonic degrees of remainders of asymptotic expansions of the digamma function: Completely monotonic degrees of remainders. 2019. ⟨hal-02415224v1⟩
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