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A note on the generic nature of Pringsheim functions

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Publication:318887
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DOI10.1515/apam-2015-0002zbMath1346.26010OpenAlexW2503801605MaRDI QIDQ318887

David Swanson, Udayan B. Darji

Publication date: 6 October 2016

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/apam-2015-0002


zbMATH Keywords

generic functionsnowhere analyticityPringsheim function


Mathematics Subject Classification ID

(C^infty)-functions, quasi-analytic functions (26E10)




Cites Work

  • Unnamed Item
  • Functions with big and small successive derivatives everywhere
  • Nowhere analytic \(C^\infty\) functions
  • Lineability of sets of nowhere analytic functions
  • Prevalence of ``nowhere analyticity
  • Most Infinitely Differentiable Functions are Nowhere Analytic
  • Sur l'ensemble des points singuliers d'une fonction d'une variable réelle admettant les dérivées de tous les ordres
  • Unendlich oft differenzierbare nicht‐analytische Funktionen


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