Тип публикации: статья из журнала
Год издания: 2015
Ключевые слова: Analytic continuation, Indicator function, Interpolating meromorphic function, Power series
Аннотация: We study the problem of analytic continuation of a power series across an open arc on the boundary of the circle of convergence. The answer is given in terms of a meromorphic function of a special form that interpolates the coefficients of the series. We find the conditions for the sum of the series to extend analytically to a neigПоказать полностьюbourhood of the arc, to a sector defined by the arc, or to the whole complex plane except some arc on the convergence disk. © Siberian Federal University. All rights reserved.
Журнал: Journal of Siberian Federal University - Mathematics and Physics
Выпуск журнала: Vol. 8, Is. 2
Номера страниц: 173-183