The distribution of the zeros of holomorphic functions of moderate growth in the unit disc and the representation of meromorphic functions there

DOI10.1070/SM2009V200N09ABEH004040zbMath1195.30009MaRDI QIDQ5852104

E. G. Kudasheva, Bulat N. Khabibullin

Publication date: 26 January 2010

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

holomorphic functionmeromorphic functionsubharmonic functionunit discdistribution of zeros and poles

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Meromorphic functions of one complex variable (general theory) (30D30) Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items (6)

On the distribution of zero sets of holomorphic functions ⋮ POISSON-JENSEN FORMULAS AND BALAYAGE OF MEASURES ⋮ Preorders on subharmonic functions and measures with applications to the distribution of zeros of holomorphic functions ⋮ Asymptotic behaviour of \(p\) th means of analytic and subharmonic functions in the unit disc and angular distribution of zeros ⋮ On zeros of functions rapidly growing in generalized Bergman spaces ⋮ Order versions of the Hahn-Banach theorem and envelopes. II: Applications to function theory

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