Directional logarithmic derivative and the distribution of zeros of an entire function of bounded \(L\)-index along the direction

DOI10.1007/s11253-017-1377-8zbMath1499.32021OpenAlexW2762265655MaRDI QIDQ1729609

O. B. Skaskiv, Andriy Bandura

Publication date: 27 February 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-017-1377-8

zbMATH Keywords

entire functions\(L\)-indexcriteria of boundednessestimate for maximum modulus

Mathematics Subject Classification ID

Entire functions of several complex variables (32A15) Special classes of entire functions of one complex variable and growth estimates (30D15) Zero sets of holomorphic functions of several complex variables (32A60)

Related Items (17)

Vector-valued bivariate entire functions of bounded index satisfying a system of differential equations ⋮ Analytic functions in the unit ball of bounded value \(L\)-distribution in a direction ⋮ Progress in the open problems in theory of functions of bounded index ⋮ Functions analytic in a unit ball of bounded \(\mathbf{L}\)-index in joint variables ⋮ Note on boundedness of the \(L\)-index in the direction of the composition of slice entire functions ⋮ Entire bivariate functions of unbounded index in each direction ⋮ Boundedness of \(l\)-index and completely regular growth of entire functions ⋮ Analytic functions in the unit ball of bounded \(\mathbf L\)-index in joint variables and of bounded \(L\)-index in direction: a connection between these classes ⋮ Boundedness of \(L\)-index for the composition of entire functions of several variables ⋮ A note on meromorphic functions with finite order and of bounded \(l\)-index ⋮ Some criteria of boundedness of the \(L\)-index in direction for slice holomorphic functions of several complex variables ⋮ Boundedness of the L-index in a direction of entire solutions of second order partial differential equation ⋮ Partial logarithmic derivatives and distribution of zeros of analytic functions in the unit ball of bounded \(\mathbf{L}\)-index in joint variables ⋮ Unnamed Item ⋮ Bounded index and four dimensional summability methods ⋮ Some weaker sufficient conditions of $L$-index boundedness in direction for functions analytic in the unit ball ⋮ Functions analytic in the unit ball having bounded \(L\)-index in a direction

Cites Work

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• Open problems for entire functions of bounded index in direction
• Entire functions of bounded \(\ell\)-distribution of values
• Entire functions of locally slow growth
• A modified criterion of boundedness \(L\)-index in direction
• Entire function of bounded \(L\)-index in direction.
• Sufficient conditions of boundedness of \(L\)-index in joint variables
• Functions of bounded index and their logarithmic derivatives
• Entire functions of several variables of bounded index
• Generalization of the fricke theorem on entire functions of finite index
• On the existence of entire functions of boundedl-index andl-regular growth

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