On zeros of analytic functions satisfying non-radial growth conditions
Alexander Borichev
Aix Marseille Université, Marseille, FranceLeonid B. Golinskii
Institute for Low Temperature Physics, Kharkov, UkraineStanislas Kupin
Université de Bordeaux I, Talence, France
Abstract
Extending the results of Borichev–Golinskii–Kupin (2009), we obtain refined Blaschke-type necessary conditions on the zero distribution of analytic functions on the unit disk and on the complex plane with a cut along the positive semi-axis satisfying some non-radial growth restrictions.
Cite this article
Alexander Borichev, Leonid B. Golinskii, Stanislas Kupin, On zeros of analytic functions satisfying non-radial growth conditions. Rev. Mat. Iberoam. 34 (2018), no. 3, pp. 1153–1176
DOI 10.4171/RMI/1020