Тип публикации: статья из журнала
Год издания: 2015
Идентификатор DOI: 10.3103/S1068362315010033
Ключевые слова: Power series; analytic continuation; Lindelof transform; multidimensional residues, analytic continuation, Lindelof transform, multidimensional residues, Power series
Аннотация: In this paper we study the sets of regularity on the boundary of the domain of convergence for a given multiple power series. As such sets we consider collections of polyarcs on the frames of polydisk of convergence of the series. In terms of an entire function, interpolating the coefficients of series, we find the sizes of polyarcПоказать полностьюs, constituting the regular set. To compute the sizes of polyarcs we essentially use the set of linear majorants for the logarithm of the module of interpolating entire function.
Журнал: JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES
Выпуск журнала: Vol. 50, Is. 1
Номера страниц: 22-31
ISSN журнала: 10683623
Место издания: NEW YORK
Издатель: ALLERTON PRESS INC