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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Vydáno v:Journal of Siberian Federal University. Mathematics & Physics Ročník 14; číslo 3; s. 360 - 368
Hlavní autor: Pochekutov, Dmitry Yu
Médium: Journal Article
Jazyk:angličtina
Vydáno: Krasnoyarsk Siberian Federal University 01.01.2021
Témata:
Complex variables
Mathematical analysis
Rational functions
ISSN:1997-1397, 2313-6022
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Shrnutí: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
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1997-1397
2313-6022
DOI:10.17516/1997-1397-2021-14-3-360-368