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

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 {z 0 + t b : t ∈ ℂ} for every z 0 ∈ ℂ n and for a given direction b ∈ ℂ n \ { 0 }. For this class of functions, we prove some criteria of boundedne...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2020, Vol.244 (1), p.1-21
Hauptverfasser: Bandura, Andriy, Skaskiv, Oleh
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Sprache:eng
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