On a Convergence of Formal Power Series Under a Special Condition on the Gelfond-Leont'ev Derivatives

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2007
• ISSN: 1812-9471
• Main Authors: Sheremeta, M.M., Volokh, O.A.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106448
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On a Convergence of Formal Power Series Under a Special Condition on the Gelfond-Leont'ev Derivatives / M.M. Sheremeta, O.A. Volokh // Журнал математической физики, анализа, геометрии. — 2007. — Т. 3, № 2. — С. 241-252. — Бібліогр.: 3 назв. — англ.

For a formal power series the conditions on the Gelfond-Leont'ev derivatives are found, under which the series represents a function, analytic in the disk {z : |z| < R}, 0 < R ≤ +∞.