On zeros of analytic functions satisfying non-radial growth conditions. (English) Zbl 1401.30004
Summary: Extending the results of A. Borichev et al. [Bull. Lond. Math. Soc. 41, No. 1, 117–123 (2009; Zbl 1175.30007)], 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.
MSC:
| 30C15 | Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) |
| 30C20 | Conformal mappings of special domains |
