On zeros of analytic functions satisfying non-radial growth conditions

• Alexander Borichev ^[3] ; Leonid B. Golinskii ^[1] ; Stanislav Kupin ^[2]
  1. [1] B Verkin Institute for Low Temperature Physics and Engineering

     B Verkin Institute for Low Temperature Physics and Engineering

     Ucrania

     
  2. [2] University of Bordeaux

     University of Bordeaux

     Arrondissement de Bordeaux, Francia

     
  3. [3] Aix Marseille Université

  Mostrar afiliaciones +
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 34, Nº 3, 2018, págs. 1153-1176
• Idioma: inglés
• DOI: 10.4171/RMI/1020
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.