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Original Articles

Abel's Equation and Regular Growth: Variations on a Theme by Abel

Pages 85-100 | Published online: 03 Apr 2012

REFERENCES

  • Abel , N. H. 1881 . “Determination d'une function au moyen d'une equation qui ne contient qu'une seule variable”. ” . In Oeuvres complètes Christiania [Abel 1881]
  • Hardy , G. H. 1910 . Orders of infinity Cambridge Univ. Press. . [Hardy 1910], Cambridge Tracts 12
  • Hardy , G. H. 1949 . Divergent series Oxford : Clarendon Press. . [Hardy 1949]
  • Konigs , G. 1884 . “Recherches sur les intégrales de certaines equations functionelles” . Ann. Sci. Ecole Norm. Sup. , : 3 – 41 . [KÖnigs 1884], (3)
  • Kuczma , M. 1968 . Functional equations in a single variable Warsaw : Państwowe Wydawnictwo Naukowe. . [Kuczma 1968], Monografie Matematyczne 46
  • Levy , P. 1928 . “Functions á croissance régulière et itération d'ordre fractionnaire” . Ann. di Mat. Pura Appl. (4) , 5 : 270 – 298 . [Lévy 1928]
  • Szekeres , G. 1958 . “Regular iteration of real and complex functions” . Acta Math. , 100 : 203 – 258 . [Szekeres 1958]
  • Szekeres , G. 1984 . “Scales of infinity and Abel's functional equation” . Math. Chronicle , 13 : 1 – 27 . [Szekeres 1984]
  • Widder , D. V. 1941 . The Laplace Transform Princeton , NJ : Princeton University Press. . [Widder 1941], Princeton Mathematical Series 6

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