dc.contributor.author | Koumandos, S. | en |
dc.creator | Koumandos, S. | en |
dc.date.accessioned | 2019-12-02T10:36:25Z | |
dc.date.available | 2019-12-02T10:36:25Z | |
dc.date.issued | 2008 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57146 | |
dc.description.abstract | Let L(x): = x - Γ(x+t)/Γ(x+s) xs-t+1, where Γ(x) is Euler's gamma function. We determine conditions for the numbers s, t so that the function Ψ(x): = - Γ(x-s)/Γ(x+t) x t-s-1 L″(x) is strongly completely monotonie on (0, ∞). Through this result we obtain some inequalities involving the ratio of gamma functions and provide some applications in the context of trigonometric sum estimation. We also give several other examples of strongly completely monotonic functions defined in terms of T and ψ:= Γ′/Γ functions. Some limiting and particular cases are also considered. © 2008 American Mathematical Society. | en |
dc.source | Mathematics of Computation | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-57049150292&doi=10.1090%2fS0025-5718-08-02140-6&partnerID=40&md5=95333fb7e694a04cb53236492b2d9abc | |
dc.subject | Completely monotonic functions | en |
dc.subject | Gamma function | en |
dc.subject | psi function | en |
dc.title | Monotonicity of some functions involving the gamma and PSI functions | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1090/S0025-5718-08-02140-6 | |
dc.description.volume | 77 | |
dc.description.issue | 264 | |
dc.description.startingpage | 2261 | |
dc.description.endingpage | 2275 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.source.abbreviation | Math.Comput. | en |
dc.contributor.orcid | Koumandos, S. [0000-0002-3399-7471] | |
dc.gnosis.orcid | 0000-0002-3399-7471 | |