Some New Inequalities for the Gamma and Polygamma Functions
In this paper, we present some new symmetric bounds for the gamma and polygamma functions. For this goal, we present two functions involving gamma and polygamma functions and we investigate their complete monotonicity. Also, we investigate their completely monotonic degrees. This concept gives more accuracy in measuring the complete monotonicity property. These new bounds are better than some of the recently published results.
Authors
- Waad Al Sayed
- H.M. Moustafa (ORCID: https://orcid.org/0000-0002-2792-6239)
Institutions
- Fahd bin Sultan University (SA)
Publication Details
- Journal
- Symmetry
- Published
- 2025-04-14
- DOI
- https://doi.org/10.3390/sym17040595
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00