Multidimensional associated fractions with independent variables and multiple power series

We establish the conditions of existence and uniqueness of a multidimensional associated fraction with independent variables corresponding to a given formal multiple power series and deduce explicit relations for the coefficients of this fraction. The relationship between the multidimensional associ...

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Bibliographic Details
Date:2019
Main Authors: Bodnar, D. I., Dmytryshyn, R. I., Боднар, Д. І., Дмитришин, Р. І.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2019
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1442
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal