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- Abelian_and_tauberian_theorems abstract "In mathematics, abelian and tauberian theorems are theorems giving conditions for two methods of summing divergent series to give the same result, named after Niels Henrik Abel and Alfred Tauber. The original examples are Abel's theorem showing that if a series converges to some limit then its Abel sum is the same limit, and Tauber's theorem showing that if the Abel sum of a series exists and the coefficients are sufficiently small (o(1/n)) then the series converges to the Abel sum. More general abelian and Tauberian theorems give similar results for more general summation methods. There is no clear distinction between abelian and Tauberian theorems, or even a generally accepted definition of what these terms mean. Often, a theorem is called "abelian" if it shows that some summation method gives the usual sum for convergent series, and is called "tauberian" if it gives conditions for a series summable by some method to be summable in the usual sense.".
- Abelian_and_tauberian_theorems wikiPageExternalLink 978-3-662-10225-1.
- Abelian_and_tauberian_theorems wikiPageID "411990".
- Abelian_and_tauberian_theorems wikiPageRevisionID "596820616".
- Abelian_and_tauberian_theorems hasPhotoCollection Abelian_and_tauberian_theorems.
- Abelian_and_tauberian_theorems id "T/t092280".
- Abelian_and_tauberian_theorems title "Tauberian theorems".
- Abelian_and_tauberian_theorems subject Category:Mathematical_series.
- Abelian_and_tauberian_theorems subject Category:Summability_methods.
- Abelian_and_tauberian_theorems subject Category:Summability_theory.
- Abelian_and_tauberian_theorems subject Category:Tauberian_theorems.
- Abelian_and_tauberian_theorems comment "In mathematics, abelian and tauberian theorems are theorems giving conditions for two methods of summing divergent series to give the same result, named after Niels Henrik Abel and Alfred Tauber. The original examples are Abel's theorem showing that if a series converges to some limit then its Abel sum is the same limit, and Tauber's theorem showing that if the Abel sum of a series exists and the coefficients are sufficiently small (o(1/n)) then the series converges to the Abel sum.".
- Abelian_and_tauberian_theorems label "Abelian and tauberian theorems".
- Abelian_and_tauberian_theorems label "Teoremas abeliano e tauberiano".
- Abelian_and_tauberian_theorems label "Théorèmes abéliens et taubériens".
- Abelian_and_tauberian_theorems label "Теорема Абеля — Таубера".
- Abelian_and_tauberian_theorems sameAs Théorèmes_abéliens_et_taubériens.
- Abelian_and_tauberian_theorems sameAs Teoremas_abeliano_e_tauberiano.
- Abelian_and_tauberian_theorems sameAs m.025682.
- Abelian_and_tauberian_theorems sameAs Q2376918.
- Abelian_and_tauberian_theorems sameAs Q2376918.
- Abelian_and_tauberian_theorems wasDerivedFrom Abelian_and_tauberian_theorems?oldid=596820616.
- Abelian_and_tauberian_theorems isPrimaryTopicOf Abelian_and_tauberian_theorems.