Zero sequences of holomorphic functions, representation of meromorphic functions. II. Entire functions

DOI10.1070/SM2009V200N02ABEH003996zbMath1167.30005MaRDI QIDQ3630569

Bulat N. Khabibullin

Publication date: 2 June 2009

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

zbMATH Keywords

entire functionmeromorphic functionsubharmonic functionsystem of exponentialszero sequenceradius of completeness

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) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (12)

Preorders on subharmonic functions and measures with applications to the distribution of zeros of holomorphic functions ⋮ On the connection between the growth of zeros and the decrease of Taylor coefficients of entire functions ⋮ Sharp bounds for asymptotic characteristics of growth of entire functions with zeros on given sets ⋮ On the growth of entire functions with discretely measurable zeros ⋮ The exact bounds of lower type magnitude for entire function of order $\rho\in(0,1)$ with zeros of prescribed average densities ⋮ Sharp bounds for the type of an entire function of order less than 1 whose zeros are located on a ray and have given averaged densities ⋮ Distributions of zeros and masses of entire and subharmonic functions with restrictions on their growth along the strip ⋮ On the necessary and sufficient conditions for the measurability of a positive sequence ⋮ Asymptotic properties of entire functions with given laws of distribution of zeros ⋮ Balayage of measures with respect to polynomials and logarithmic kernels on the complex plane ⋮ Canonical functions of admissible measures in the half-plane ⋮ Sharp estimates of types of entire functions with zeros on rays

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