Тип публикации: статья из журнала

Год издания: 2022

Идентификатор DOI: 10.17516/1997-1397-2022-15-5-555-558

Ключевые слова: analytic continuation, indicator function, power series

Аннотация: We consider the problem of power series analytic continuation by coefficients interpolation by entire or meromorphic functions. We prove uniqueness of an interpolating function with some properties. Also, under assumptions of Polya‘s theorem about extendability of the sum of power series to the whole complex plane, except, possiblyПоказать полностью, some boundary arc, we find at least one singular point location. © Siberian Federal University.

Журнал: Journal of Siberian Federal University - Mathematics and Physics

Выпуск журнала: Vol. 15, Is. 5

Номера страниц: 555-558

ISSN журнала: 19971397

Издатель: Siberian Federal University

• Mkrtchyan A.J. (Siberian Federal University, Krasnoyarsk, Russian Federation, Institute of Mathematics National Academy of Sciences of the Republic of Armenia, Yerevan, Armenia)

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