dc.contributor.author | Alzer, H. | en |
dc.contributor.author | Berg, C. | en |
dc.contributor.author | Koumandos, S. | en |
dc.creator | Alzer, H. | en |
dc.creator | Berg, C. | en |
dc.creator | Koumandos, S. | en |
dc.date.accessioned | 2019-12-02T10:33:31Z | |
dc.date.available | 2019-12-02T10:33:31Z | |
dc.date.issued | 2005 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56400 | |
dc.description.abstract | Let Φm (x) = -xmψ(m) (x), where ψ denotes the logarithmic derivative of Euler's gamma function. Clark and Ismail prove in a recently published article that if m ∈ {1,2,..., 16}, then Φm(m) is completely monotonic on (0, ∞), and they conjecture that this is true for all natural numbers m. We disprove this conjecture by showing that there exists an integer m0 such that for all m ≥ m0 the function Φm(m) is not completely monotonic on (0, ∞). © 2005 Elsevier Inc. All rights reserved. | en |
dc.source | Journal of Approximation Theory | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-17844382197&doi=10.1016%2fj.jat.2004.02.008&partnerID=40&md5=575bdd60fb015647f80426c66b709dde | |
dc.subject | Completely and absolutely monotonic functions | en |
dc.subject | Inequalities | en |
dc.subject | Infinite series | en |
dc.subject | Polygamma functions | en |
dc.title | On a conjecture of Clark and Ismail | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1016/j.jat.2004.02.008 | |
dc.description.volume | 134 | |
dc.description.issue | 1 | |
dc.description.startingpage | 102 | |
dc.description.endingpage | 113 | |
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.description.notes | <p>Cited By :5</p> | en |
dc.source.abbreviation | J.Approx.Theory | en |
dc.contributor.orcid | Koumandos, S. [0000-0002-3399-7471] | |
dc.gnosis.orcid | 0000-0002-3399-7471 | |