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

DOI10.1515/DEMA-2019-0008zbMath1415.32005OpenAlexW2914961274MaRDI QIDQ1736451

O. B. Skaskiv, Andriy Bandura

Publication date: 26 March 2019

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2019-0008

zbMATH Keywords

entire functions of several variablesbounded \(\mathbf L\)-index in directionbounded \(\mathbf L\)-index in joint variables

Mathematics Subject Classification ID

Entire functions of several complex variables (32A15)

Related Items (11)

Slice holomorphic functions in the unit ball: boundedness of \(L\)-index in a direction and related properties ⋮ Analytic functions in the unit ball of bounded value \(L\)-distribution in a direction ⋮ Composition, product and sum of analytic functions of bounded \(L\)-index in direction in the unit ball ⋮ Unnamed Item ⋮ Note on boundedness of the \(L\)-index in the direction of the composition of slice entire functions ⋮ Some criteria of boundedness of the \(L\)-index in direction for slice holomorphic functions of several complex variables ⋮ Analytic vector-functions in the unit ball having bounded $\mathbf{L}$-index in joint variables ⋮ Growth Estimates for Analytic Vector-Valued Functions in the Unit Ball Having Bounded $\mathbf{L}$-index in Joint Variables ⋮ Analogs of Hayman's theorem and of logarithmic criterion for analytic vector-valued functions in the unit ball having bounded L-index in joint variables ⋮ Boundedness of L-index in joint variables for composition of analytic functions in the unit ball ⋮ Some weaker sufficient conditions of $L$-index boundedness in direction for functions analytic in the unit ball

Cites Work

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• Functions analytic in a unit ball of bounded \(\mathbf{L}\)-index in joint variables
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• Entire functions of bounded L-index: its zeros and behavior of partial logarithmic derivatives
• Analytic functions in the unit ball of bounded \(L\)-index: asymptotic and local properties
• Sufficient conditions of boundedness of \(L\)-index in joint variables
• Entire functions of several variables of bounded index
• Asymptotic estimates of entire functions of bounded $\mathbf{L}$-index in joint variables
• Entire bivariate functions of exponential type
• A characterization of holomorphic bivariate functions of bounded index
• Sums of Functions of Bounded Index

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