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Analytic functions in a unit polydisc: conditions of boundedness of L-index in a direction for the sum of functions with bounded L-index in the direction

Ukrainian Mathematical Bulletin
Analytic functions in a unit polydisc with bounded L-index in a direction have interesting properties: bounded valued distribution, bounded logarithmic derivative outside some exceptional set, growth estimates, etc. The boundedness of L-index in a direction is an important property in analytic theory of differential equations, which allows to describe ...
Andriy Bandura, O B Skaskiv
exaly +2 more sources

Some criteria of boundedness of the L-index in direction for slice holomorphic functions of several complex variables

Journal of Mathematical Sciences, 2019
We investigate the slice holomorphic functions of several complex variables that have a bounded L-index in some direction and are entire on every slice {z⁰ + tb : t ∈ C} for every z⁰ ∈ Cⁿ and for a given direction b ∈ Cⁿ \ {0}.
Andriy Bandura, O B Skaskiv, Bandura Andriy +2 more
exaly +4 more sources

Analytic functions in a unit polydisc: conditions of directional boundedness of L-index for the sum of functions with directionally bounded L-index