Necessary and sufficient conditions for zero subsets of holomorphic functions with upper constraints in planar domains

DOI10.1134/S1995080221040120zbMath1468.30020arXiv2012.12660OpenAlexW3170933079MaRDI QIDQ2030146

F. B. Khabibullin, Bulat N. Khabibullin

Publication date: 7 June 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.12660

zbMATH Keywords

subharmonic functionszero set of holomorphic functions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Cites Work

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• A criterion for the sequence of roots of holomorphic function with restrictions on its growth
• On the distribution of zero sets of holomorphic functions. II
• On the distribution of zero sets of holomorphic functions. III: Converse theorems
• Subsequences of zeros for classes of entire functions of exponential type distinguished by growth restrictions
• Growth of Subharmonic Functions
• Functions Representable as Differences of Subharmonic Functions

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