Ilpo Laine

Rolf Nevanlinna

Olli Martio

Sixteenth Rolf Nevanlinna Colloquium

Max Born

Carl Ludwig Siegel

Hans Stille

Hans Kopfermann

W. Heisenberg

Peter Brix

Hermann Staudinger

Carl Friedrich v. Weizsäcker

Hans von Euler

J. Arvid Hedvall

Franz Rellich

I. Mathematisch-Physikalische Klasse

Festschrift zur Feier des Zweihundertjährigen Bestehens der Akademie der Wissenschaften in Göttingen

In Honorem Rolf Nevanlinna ; Die Natali Eius Septuagesimo 22.X.1965

Studia Logico-mathematica Et Philosophica

The present monograph on analytic functions coincides to a lar[extent with the presentation of the modern theory of single-value analytic functions given in my earlier works "Le theoreme de Picarc Borel et la theorie des fonctions meromorphes" (Paris: Gauthier-Villar 1929) and "Eindeutige analytische Funktionen" (Die Grundlehren dt mathematischen Wissenschaften in Einzeldarstellungen, VoL 46, 1: edition Berlin: Springer 1936, 2nd edition Berlin-Gottingen-Heidelberg Springer 1953). In these presentations I have strived to make the individual result and their proofs readily understandable and to treat them in the ligh of certain guiding principles in a unified way. A decisive step in thi direction within the theory of entire and meromorphic functions consiste- in replacing the classical representation of these functions through ca nonical products with more general tools from the potential theor (Green's formula and especially the Poisson-Jensen formula). On thi foundation it was possible to introduce the quantities (the characteristic the proximity and the counting functions) which are definitive for th

Analytic Functions

Rolf Nevanlinna

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