62005 20200221144221.0 doi 10.1007/s00009-016-0792-7 sideral 96252 ART-2016-96252 eng (orcid)0000-0001-8331-5160 Adell, J.A. Universidad de Zaragoza Acceleration Methods for Series: A Probabilistic Perspective 2016 Access copy available to the general public Unrestricted We introduce a probabilistic perspective to the problem of accelerating the convergence of a wide class of series, paying special attention to the computation of the coefficients, preferably in a recursive way. This approach is mainly based on a differentiation formula for the negative binomial process which extends the classical Euler’s transformation. We illustrate the method by providing fast computations of the logarithm and the alternating zeta functions, as well as various real constants expressed as sums of series, such as Catalan, Stieltjes, and Euler–Mascheroni constants. info:eu-repo/grantAgreement/ES/DGA/E64 info:eu-repo/grantAgreement/ES/MINECO/MTM2015-67006-P info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.868 2016 MATHEMATICS 83 / 310 = 0.268 2016 Q2 T1 MATHEMATICS, APPLIED 138 / 255 = 0.541 2016 Q3 T2 0.655 2016 Mathematics (miscellaneous) 2016 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion (orcid)0000-0001-6555-4432 Lekuona, A. Universidad de Zaragoza 2007 265 Universidad de Zaragoza Dpto. Métodos Estadísticos Área Estadís. Investig. Opera. 13, 6 (2016), 5063-5076 Mediterranean Journal of Mathematics Mediterranean Journal of Mathematics 1660-5446 294043 http://zaguan.unizar.es/record/62005/files/texto_completo.pdf Postprint 39175 http://zaguan.unizar.es/record/62005/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:62005 articulos driver 2020-02-21-13:15:09 ARTICLE