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Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 (Paperback)
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Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 (Paperback)
Series: Annals of Mathematics Studies
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The present monograph grew out of the fifth set of Hermann Weyl
Lectures, given by Professor Griffiths at the Institute for
Advanced Study, Princeton, in fall 1974. In Chapter 1 the author
discusses Emile Borel's proof and the classical Jensen theorem,
order of growth of entire analytic sets, order functions for entire
holomorphic mappings, classical indicators of orders of growth, and
entire functions and varieties of finite order. Chapter 2 is
devoted to the appearance of curvature, and Chapter 3 considers the
defect relations. The author considers the lemma on the logarithmic
derivative, R. Nevanlinna's proof of the defect relation, and
refinements of the classical case.
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