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 {z⁰ + tb : t ∈ C} for every z⁰ ∈ Cⁿ and for a given direction b ∈ Cⁿ \ {0}. For this class of functions, we prove some criteria of boundedness of th...

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Bibliographic Details
Date:2019
Main Authors: Bandura, A., Skaskiv, O.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2019
Series:Український математичний вісник
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/169438
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Some criteria of boundedness of the L-index in direction for slice holomorphic functions of several complex variables / A. Bandura, O. Skaskiv // Український математичний вісник. — 2019. — Т. 16, № 2. — С. 154-180. — Бібліогр.: 31 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine