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.issn | 0022-247X | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57147 | |
dc.description.abstract | We study the remainder RN (x) in an asymptotic expansion due to S.N.M. Ruijsenaars, for the logarithm of the double gamma function. We show that for any even number N the function (- 1)frac(N, 2) - 1 RN (x) is completely monotonic on (0, ∞). This proves a recent conjecture of H.L. Pedersen. In addition, we give an estimate for the remainder RN (x) for N even. © 2007 Elsevier Inc. All rights reserved. | en |
dc.source | Journal of Mathematical Analysis and Applications | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-38949153172&doi=10.1016%2fj.jmaa.2007.11.021&partnerID=40&md5=3add5b12c08c147fb732408a106ee6ab | |
dc.subject | Completely monotonic functions | en |
dc.subject | Asymptotic formulae | en |
dc.subject | Double gamma function | en |
dc.subject | Double zeta function | en |
dc.subject | Error bounds | en |
dc.subject | Generalized Bernoulli polynomials | en |
dc.title | On Ruijsenaars' asymptotic expansion of the logarithm of the double gamma function | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1016/j.jmaa.2007.11.021 | |
dc.description.volume | 341 | |
dc.description.issue | 2 | |
dc.description.startingpage | 1125 | |
dc.description.endingpage | 1132 | |
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 :15</p> | en |
dc.source.abbreviation | J.Math.Anal.Appl. | en |
dc.contributor.orcid | Koumandos, S. [0000-0002-3399-7471] | |
dc.gnosis.orcid | 0000-0002-3399-7471 | |