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

Автор(и)

  • M.M. Sheremeta Department of Mechanics and Mathematics, Ivan Franko Lviv National University 1 Universitetska Str., Lviv, 7900, Ukraine
  • O.A. Volokh Department of Mechanics and Mathematics, Ivan Franko Lviv National University 1 Universitetska Str., Lviv, 7900, Ukraine

Ключові слова:

formal power series, Gelfond-Leont'ev derivatives, analytic function.

Анотація

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 ≤ +∞.

Mathematics Subject Classification: 30D50, 30D99.

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Sheremeta, M.; Volokh, O. On a Convergence of Formal Power Series Under a Special Condition on the Gelfond-Leont’ev Derivatives. Журн. мат. фіз. анал. геом. 2007, 3, 241-252.

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