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
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i)
h ⋆ f (z) = tρh ⋆ f (z) for t≧0;
-
ii)
h ⋆ f (z) is plurisubharmonic in ℂn.
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© 1986 Springer-Verlag Berlin Heidelberg
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Lelong, P., Gruman, L. (1986). The Indicator of Growth Theorem. In: Entire Functions of Several Complex Variables. Grundlehren der mathematischen Wissenschaften, vol 282. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-70344-7_7
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DOI: https://doi.org/10.1007/978-3-642-70344-7_7
Publisher Name: Springer, Berlin, Heidelberg
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