JournalsrmiVol. 34, No. 3pp. 1153–1176

On zeros of analytic functions satisfying non-radial growth conditions

  • Alexander Borichev

    Aix Marseille Université, Marseille, France

  • Leonid B. Golinskii

    Institute for Low Temperature Physics, Kharkov, Ukraine

  • Stanislas Kupin

    Université de Bordeaux I, Talence, France
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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