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Rendiconti del Circolo Matematico di Palermo

, Volume 5, Issue 3, pp 275–287 | Cite as

On the local domains of regularity of functions defined by implicit conditions

  • Aurel Wintner
Article
  • 12 Downloads

Keywords

Absolute Constant Local Domain Implicit Condition Final Nature Local Inverse 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    C. Carathéodory,Funktionentheorie, vol. 1, Basel, 1950.Google Scholar
  2. [2]
    P. Hartman and A. Wintner, «On conformal maps defined by lagrange's series and by solutions of dw/dz=f(w)», Rendiconti del Circolo Matematico di Palermo, ser. 2, vol. 3 (1954), pp. 282–292.MATHCrossRefMathSciNetGoogle Scholar
  3. [3]
    E. Landau, «Der Picard-Schottkysche Satz und die Blochsche Konstante», Sitzungsberichte der Preussischen Akademie der Wissenschaften, vol. 1926, pp. 467–474.Google Scholar
  4. [4]
    E. Landau, «Über die Blochsche Konstante und zwei verwandte Weltkonstanten» Mathematische Zeitschrift, vol. 30 (1929), pp. 608–634.CrossRefMathSciNetGoogle Scholar
  5. [5]
    E. Landau, «Darstellung und Begründung einiger neuerer Ergebnisse der Funktionentheorie, 2nd ed. (1929).Google Scholar
  6. [6]
    E. Lindelöf, “Démonstration élémentaire de l'existence des fonctions implicites», Bulletin des Sciences Mathématiques, ser. 2, vol. 23 (1899), part 1, pp. 68–75.Google Scholar
  7. [7]
    J. E. Littlewood, «Lectures on the theory of functions», Oxford, 1944.Google Scholar
  8. [8]
    G. Valiron, «Cours d'Analyse Mathématique», Paris, 1945.Google Scholar
  9. [9]
    A. Wintner, «Zur Theorie der galaktischen Modelle», Astronomische Nachrichten, vol. 223 (1924), columns 99–102.Google Scholar
  10. [10]
    A. Wintner, «Uber die Methode der unbestimmten Koeffizienten», ibid., Astronomische Nachrichten, vol. 223 (1925), columns 237–242.Google Scholar
  11. [11]
    A. Wintner, «On the regularity regions of the solutions of the partial differential equations of Cauchy-Kowalewsky», American Journal of Mathematics, vol. 78 (1956), pp. 525–541.MATHCrossRefMathSciNetGoogle Scholar
  12. [12]
    A. Wintner, «On certain absolate constants concerning analytic differential equations», ibid., vol. 78 (1956), pp. 542–554.MATHCrossRefMathSciNetGoogle Scholar
  13. [13]
    A. Wintner, «On the method of successive approximations in initial value problems», Annali di Matematica, ser 4, vol. 41 (1956), pp. 343–357.MATHCrossRefMathSciNetGoogle Scholar
  14. [14]
    A. Wintner, «On an absolute constant pertaining to Cauchy's ‘principal moduli’ in bounded power series», Mathematica Scandinavica, vol. 4 (1956), pp. 108–112.MATHMathSciNetGoogle Scholar

Copyright information

© Springer 1956

Authors and Affiliations

  • Aurel Wintner
    • 1
  1. 1.BaltimoreU.S.A.

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