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PHYSICAL-MATHEMATICAL SCIENCES
Some remarks on Blaschke type products in area Nevanlinna type spaces in the unit disk
R. F. Shamoyana, O. Mihicb a I. G. Petrovsky Bryansk State University, 241036, Russia, Bryansk, 14 Bezhitskaya street
b University of Belgrade, 11000, Serbia, Bеlgrade, Student Square 1
Abstract:
The intention of this paper is to introduce and study certain new analytic spaces in disk and
to show that certain Blaschke type products belong to such so called new large Nevanlinna type classes in
the unit disk. These results extend and complement some previously known assertions of this type
obtained earlier by other authors. Our result may be used to get parametric representations of these large
spaces of area Nevanlinna type via infinite products.
Keywords:
Blaschke type infinite products, area Nevanlinna type spaces, Nevanlinna characteristic,
parametric representations, analytic function.
Received: 10.03.2022 Accepted: 15.04.2022
Citation:
R. F. Shamoyan, O. Mihic, “Some remarks on Blaschke type products in area Nevanlinna type spaces in the unit disk”, News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences, 2022, no. 2, 17–21
Linking options:
https://www.mathnet.ru/eng/izkab425 https://www.mathnet.ru/eng/izkab/y2022/i2/p17
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Abstract page: | 44 | Full-text PDF : | 21 | References: | 11 |
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