Normal Families of the Disc in Pn Minus Hyperplanes

  • Serge Lang


After the work of Nevanlinna, Bloch wrote a fundamental paper where, as he says (my translation):

There was no doubt a priori that to Borel’s theorem there should corre-spond theorems in finite terms, just as the Landau theorem corresponds to Picard’s theorem. This results from a principle which can be stated as fol-lows: Nihil est in infinito quod non prius fuerit in finito. But what were these theorems? This was not at all clear at first sight.


Holomorphic Function Normal Family Logarithmic Derivative Infinite Family Jensen Inequality 
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Copyright information

© Springer Science+Business Media New York 1987

Authors and Affiliations

  • Serge Lang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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