On zeros of analytic functions satisfying non-radial growth conditions

2016/03/14 by Alexander Borichev, Borichev, A., Leonid Golinskiĭ +2 · 1 citation
Mathematics · #Meromorphic and Entire Functions #Analytic and geometric function theory #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1603.04104

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.

Cited by

• Nevanlinna classes for non radial weights in the unit disc. Applications

Related

• On distribution of zeros of holomorphic functions: Blaschke-type conditions
• On critical points of Blaschke products
• Growth, zero distribution and factorization of analytic functions of moderate growth in the unit disc
• Blaschke-type conditions for analytic functions in the unit disk: inverse problems and local analogs
• Zeros of holomorphic functions in the unit disk and ρ-trigonometrically convex functions