Many-Sheeted Versions of the Plya-Bernstein and Borel Theorems for Entire Functions of Order rho not equal 1 and Their Applications : сборник научных трудов

Описание

Тип публикации: статья из журнала

Год издания: 2018

Идентификатор DOI: 10.1134/S1064562418010131

Аннотация: The Puiseux series generated by the power function z = w (1/rho), where rho > 0,rho not equal 1, is considered. A version of the Plya-Bernstein theorem for an entire function of order rho not equal 1 and normal type is proposed and applied to describe the domain of analytic continuation of this series. The domain of summability of Показать полностьюa "regular" Puiseux series is found (this is a many-sheeted "Borel polygon"); in the case rho = 1, the "one-sheeted" result of Borel is substantially extended. These results make it possible to describe domains of analytic continuation of the Puiseux expansions of popular many-sheeted functions (such as inverses of rational functions).

Ссылки на полный текст

Издание

Журнал: DOKLADY MATHEMATICS

Выпуск журнала: Vol. 97, Is. 1

Номера страниц: 42-46

ISSN журнала: 10645624

Место издания: NEW YORK

Издатель: MAIK NAUKA/INTERPERIODICA/SPRINGER

Авторы

Вхождение в базы данных