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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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
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Abstract 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
AbstractList 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
Мы описываем точки ветвления полных q-диагоналей рядов Лорана рациональных функций нескольких комплексных переменных в терминах логарифмического отображения Гаусса. Доказано достаточное условие неалгебраичности такой диагонали.
Author Pochekutov, Dmitry Yu
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Copyright 2021. This work is published under http://journal.sfu-kras.ru/en/series/mathematics_physics (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
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Snippet We describe branch points of complete q-diagonals of Laurent series for rational functions in several complex variables in terms of the logarithmic Gauss...
Мы описываем точки ветвления полных q-диагоналей рядов Лорана рациональных функций нескольких комплексных переменных в терминах логарифмического отображения...
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SubjectTerms Complex variables
Mathematical analysis
Rational functions
Title Analytic Continuation of Diagonals of Laurent Series for Rational Functions
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