Watson resummation of a class of Hausdorff-transformed power series (Articolo in rivista)

Type
Label
  • Watson resummation of a class of Hausdorff-transformed power series (Articolo in rivista) (literal)
Anno
  • 2004-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.jmaa.2004.06.015 (literal)
Alternative label
  • De Micheli Enrico; Viano Giovanni Alberto (2004)
    Watson resummation of a class of Hausdorff-transformed power series
    in Journal of mathematical analysis and applications (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • De Micheli Enrico; Viano Giovanni Alberto (literal)
Pagina inizio
  • 630 (literal)
Pagina fine
  • 650 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.sciencedirect.com/science/article/pii/S0022247X04004846 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 299 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 2 (literal)
Note
  • ISI Web of Science (WOS) (literal)
  • Scopu (literal)
  • athematical Reviews on the web (MathSciNet) (literal)
  • Google Scholar (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Istituto di Biofisica, Consiglio Nazionale delle Ricerche, Genova, Italy Dipartimento di Fisica, Universita' di Genova, Genova, Italy (literal)
Titolo
  • Watson resummation of a class of Hausdorff-transformed power series (literal)
Abstract
  • In this paper we study a class of Hausdorff-transformed power series whose convergence is extremely slow for large values of the argument. We perform a Watson-type resummation of these expansions, and obtain, by the use of the Pollaczek polynomials, a new representation whose convergence is much faster. We can thus propose a new algorithm for the numerical evaluation of these expansions, which include series playing a relevant role in the computation of the partition function in statistical mechanics. By the same procedure we obtain also a solution of the classical Hausdorff moment problem. (literal)
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