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Growth of functions in <i>cercles de remplissage</i>

Growth of functions in <i>cercles de remplissage</i>

Abstract Suppose that f is meromorphic in the plane, and that there is a sequence Z n โ†’ โˆž and a sequence of positive numbers โˆˆ n โ†’ 0, such that โˆˆ n |z n |f # (z n )/log|z n | โ†’ โˆž. It is shown that if f โ€ฆ