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Let f be an entire function and denote by $$f^\#$$ f# the spherical derivative of f and by $$f^n$$ fn the n-th iterate of f. For an open set U intersecting the Julia set J(f), we consider how fast $$\sup _{z\in U} (f^n)^\#(z)$$ supz∈U(fn)#(z) and $$\int _U (f^n)^\#(z)^2 dx\,dy$$ ∫U(fn)#(z)2dxdy tend to $$\infty $$ ∞ . We also study the growth rate of the sequence $$(f^n)^\#(z)$$ (fn)#(z) for...
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