Partial solutions to several conjectures on completely monotonic degrees for remainders in asymptotic expansions of the digamma function
Classical Analysis and ODEs
2022-01-20 v3
Abstract
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, pp. 366--371 (2019); available online at https://doi.org/10.1016/j.cam.2019.05.001", the authors compute 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.
Keywords
Cite
@article{arxiv.1912.07989,
title = {Partial solutions to several conjectures on completely monotonic degrees for remainders in asymptotic expansions of the digamma function},
author = {Feng Qi and Mansour Mahmoud},
journal= {arXiv preprint arXiv:1912.07989},
year = {2022}
}
Comments
11 pages