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Beweis des Satzes, dass eine einwertige Funktion beliebig vieler Variabeln, welche überall als Quotient zweier Potenzreihen dargestellt werden kann, eine rationale Funktion ihrer Argumente ist

In: Mathematische Werke

Author

Listed:
  • Adolf Hurwitz

Abstract

Zusammenfassung Im folgenden soll ein kleiner Beitrag zur Theorie der analytischen Funktionen mehrerer Veränderlicher geliefert werden. Wir wollen nämlich den Nachweis erbringen, dass jede Funktion, die überall den Charakter einer rationalen Funktion besitzt, notwendig in rationaler Weise von ihren Argumenten abhängt1).

Suggested Citation

  • Adolf Hurwitz, 1932. "Beweis des Satzes, dass eine einwertige Funktion beliebig vieler Variabeln, welche überall als Quotient zweier Potenzreihen dargestellt werden kann, eine rationale Funktion ihrer Argumente ist," Springer Books, in: Mathematische Werke, chapter 0, pages 147-152, Springer.
  • Handle: RePEc:spr:sprchp:978-3-0348-4161-0_8
    DOI: 10.1007/978-3-0348-4161-0_8
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