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 Vol. 14; no. 3; pp. 360 - 368
Main Author: Pochekutov, Dmitry Yu
Format: Journal Article
Language:English
Published: Krasnoyarsk Siberian Federal University 01.01.2021
Subjects:
Complex variables
Mathematical analysis
Rational functions
ISSN:1997-1397, 2313-6022
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
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content type line 14
ISSN:1997-1397
2313-6022
DOI:10.17516/1997-1397-2021-14-3-360-368