Convergence acceleration of series through a variational approach

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dc.creatorAmore, Paolo
dc.date2004-08-24
dc.date2005-10-22
dc.date.accessioned2026-07-07T07:53:49Z
dc.date.available2026-07-07T07:53:49Z
dc.descriptionBy means of a variational approach we find new series representations both for well known mathematical constants, such as $π$ and the Catalan constant, and for mathematical functions, such as the Riemann zeta function. The series that we have found are all exponentially convergent and provide quite useful analytical approximations. With limited effort our method can be applied to obtain similar exponentially convergent series for a large class of mathematical functions.
dc.description19 pages, 9 figures, 1 table Accepted for publication on the Journal of Mathematical Analysis and Applications
dc.identifierhttps://arxiv.org/abs/math-ph/0408036
dc.identifierhttp://arxiv.org/abs/math-ph/0408036
dc.identifierJournal of Mathematical Analysis and Applications 323 (2006) 63-77
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126366
dc.subjectMathematical Physics
dc.titleConvergence acceleration of series through a variational approach
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