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 Показать полностьюhow 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