http://www.cnr.it/ontology/cnr/individuo/prodotto/ID180708
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
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- De Micheli Enrico; Viano Giovanni Alberto (literal)
- Pagina inizio
- Pagina fine
- 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
- Rivista
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
- 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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