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Normal Families of the Disc in P n Minus Hyperplanes

Serge Lang
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Serge Lang: Yale University, Department of Mathematics

Chapter Chapter VIII in Introduction to Complex Hyperbolic Spaces, 1987, pp 224-261 from Springer

Abstract: Abstract 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.

Keywords: Holomorphic Function; Normal Family; Logarithmic Derivative; Infinite Family; Jensen Inequality (search for similar items in EconPapers)
Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4757-1945-1_9

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DOI: 10.1007/978-1-4757-1945-1_9

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