Analytic Continuation of Diagonals of Laurent Series for Rational Functions

We describe branch points of complete q-diagonals of Laurent series for rational functions in several complex variables in terms of the logarithmic Gauss mapping. The sufficient condition of non-algebraicity of such a diagonal is proven

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Bibliographic Details
Published in:Journal of Siberian Federal University. Mathematics & Physics 2021-01, Vol.14 (3), p.360-368
Main Author: Pochekutov, Dmitry Yu
Format: Article
Language:English
Subjects:
Complex variables
Mathematical analysis
Rational functions
Online Access:Get full text
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Description
Summary:We describe branch points of complete q-diagonals of Laurent series for rational functions in several complex variables in terms of the logarithmic Gauss mapping. The sufficient condition of non-algebraicity of such a diagonal is proven
ISSN:1997-1397
2313-6022
DOI:10.17516/1997-1397-2021-14-3-360-368