Analytic continuation of power series by means of interpolating the coefficients by meromorphic functions

Описание

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.

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Издание

Журнал: Journal of Siberian Federal University - Mathematics and Physics

Выпуск журнала: Vol. 8, Is. 2

Номера страниц: 173-183

Персоны

  • Mkrtchyan A.J. (Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, Russian Federation)

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