Densities in Fabry’s theorem

Alexandre Eremenko

doi:10.1215/ijm/1258554362

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Home > Journals > Illinois J. Math. > Volume 52 > Issue 4 > Article

Winter 2008 Densities in Fabry’s theorem

Alexandre Eremenko

Illinois J. Math. 52(4): 1277-1290 (Winter 2008). DOI: 10.1215/ijm/1258554362

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Abstract

Fabry’s theorem on the singularities of power series is improved: the maximum density in the assumptions of this theorem is replaced by an interior density of Beurling–Malliavin type.