On zeros of analytic functions satisfying non-radial growth conditions
  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. 
A. Borichev, L. Golinskii, S. Kupin
math.CV math-ph math.MP