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Spezielle Funktionen

In: Vorlesungen über höhere Mathematik

Author

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  • Adalbert Duschek

    (Technischen Hochschule Wien)

Abstract

Zusammenfassung Ich erinnere an die Definition der ganzen Funktion (§ 25, 10): Es sind die in der ganzen z-Ebene regulären Funktionen mit höchstens einer singulären Stelle in z = ∞. Ist diese singuläre Stelle ein Pol n-ter Ordnung, so ist f(z) eine ganze rationale Funktion (ein Polynom) n-ter Ordnung; ist z = ∞ eine wesentlich singuläre Stelle, so ist f(z) eine ganze transzendente Funktion.

Suggested Citation

  • Adalbert Duschek, 1960. "Spezielle Funktionen," Springer Books, in: Vorlesungen über höhere Mathematik, edition 0, chapter 0, pages 385-464, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7091-7687-0_6
    DOI: 10.1007/978-3-7091-7687-0_6
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