Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2020

Идентификатор DOI: 10.17516/1997-1397-2020-13-1-114-130

Ключевые слова: Algebraic equation, Analytic continuation, Barnes integral, Discriminant locus, Mellin, Puiseux series

Аннотация: In the paper, we deal with the problem of getting analytic continuations for the monomial function associated with a solution to the reduced trinomial algebraic system. In particular, we develop the idea of applying the Mellin-Barnes integral representation of the monomial function for solving the extension problem and demonstrate how to achieve the same result following the fact that the solution to the universal trinomial system is polyhomogeneous. As a main result, we construct Puiseux expansions (centred at the origin) representing analytic continuations of the monomial function. © Siberian Federal University. All rights reserved.

Журнал: Journal of Siberian Federal University - Mathematics and Physics

Выпуск журнала: Vol. 13, Is. 1

Номера страниц: 114-130

ISSN журнала: 19971397

• Antipova Irina A. (Siberian Fed Univ, Krasnoyarsk, Russia)
• Kleshkova Ekaterina A. (Siberian Fed Univ, Krasnoyarsk, Russia)
• Kulikov Vladimir R. (Siberian Fed Univ, Krasnoyarsk, Russia)

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