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The Indicator of Growth Theorem

Chapter
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Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 282)

Abstract

We have seen in Chapter 1 that the radial indicator h f of an entire function f (z) of normal type with respect to a proximate order ρ(r) satisfies
  1. i)

    h f (z) = tρh f (z) for t≧0;

     
  2. ii)

    h f (z) is plurisubharmonic in ℂ n .

     

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Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  1. 1.Université Paris VIParis Cedex 05France
  2. 2.UER de mathématiquesC.N.R.S., Université de ProvenceMarseilleFrance

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