69700 20190709135609.0 doi 10.1186/s13660-017-1507-8 sideral 104712 ART-2017-104712 eng (orcid)0000-0001-8331-5160 Adell, J.A. Universidad de Zaragoza Monotone and fast computation of Euler’s constant 2017 Access copy available to the general public Unrestricted We construct sequences of finite sums (l˜n)n=0 and (u˜n)n=0 converging increasingly and decreasingly, respectively, to the Euler-Mascheroni constant ¿ at the geometric rate 1/2. Such sequences are easy to compute and satisfy complete monotonicity-type properties. As a consequence, we obtain an infinite product representation for 2 ¿ converging in a monotone and fast way at the same time. We use a probabilistic approach based on a differentiation formula for the gamma process. info:eu-repo/grantAgreement/ES/DGA/E64 info:eu-repo/grantAgreement/ES/MINECO/MTM2015-67006-P info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 0.966 2017 MATHEMATICS 79 / 309 = 0.256 2017 Q2 T1 MATHEMATICS, APPLIED 130 / 252 = 0.516 2017 Q3 T2 0.546 2017 Applied Mathematics 2017 Q2 Discrete Mathematics and Combinatorics 2017 Q3 Analysis 2017 Q3 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion (orcid)0000-0001-6555-4432 Lekuona, A. Universidad de Zaragoza 2007 265 Universidad de Zaragoza Dpto. Métodos Estadísticos Área Estadís. Investig. Opera. 2017 (2017), 224 [9 pp] J. inequal. appl. JOURNAL OF INEQUALITIES AND APPLICATIONS 1025-5834 1345725 http://zaguan.unizar.es/record/69700/files/texto_completo.pdf Versión publicada 72911 http://zaguan.unizar.es/record/69700/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:69700 articulos driver 2019-07-09-12:21:53 ARTICLE