Some weaker sufficient conditions of $L$-index boundedness in direction for functions analytic in the unit ball

DOI10.15330/CMP.11.1.14-25zbMath1423.32003OpenAlexW2954249106MaRDI QIDQ5233435

Publication date: 11 September 2019

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15330/cmp.11.1.14-25

zbMATH Keywords

distribution of zeros bounded $L$-index in direction analytic functions in the unit ball

Mathematics Subject Classification ID

Special families of functions of several complex variables (32A17) Zero sets of holomorphic functions of several complex variables (32A60)

Related Items (2)

Composition of entire and analytic functions in the unit ball ⋮ On Dirichlet series similar to Hadamard compositions in half-plane

Cites Work

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Open problems for entire functions of bounded index in direction
Logarithmic derivative and zeros of an entire function of bounded $l$- index
Entire functions of locally slow growth
Analytic functions of bounded $l$-index
Functions analytic in a unit ball of bounded $\mathbf{L}$-index in joint variables
Directional logarithmic derivative and the distribution of zeros of an entire function of bounded $L$-index along the direction
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
Entire functions of bounded L-index: its zeros and behavior of partial logarithmic derivatives
Entire bivariate functions of unbounded index in each direction
Analytic in a polydisc functions of bounded $L$-index in joint variables
Some improvements of criteria of $L$-index boundedness in direction
Analytic functions in the unit ball of bounded $L$-index: asymptotic and local properties
Analytic functions in the unit ball of bounded value $L$-distribution in a direction
A modified criterion of boundedness $L$-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
Properties of composite positive continuous functions in $\mathbb{C}^n$
Generalization of the fricke theorem on entire functions of finite index
Maximum modulus in a bidisc of analytic functions of bounded $L$-index and an analogue of Hayman's theorem
Boundedness of the L-index in a direction of entire solutions of second order partial differential equation
Sufficient conditions of boundedness of L-index and analog of Hayman's Theorem for analytic functions in a ball

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