Belonging to convergence classes of Hadamard compositions of Gelfond-Leont'ev derivatives for analytic functions

  • O.M. Mulyava National University of Food Technologies, 68 Volodymyrska str., 01601, Kyiv, Ukraine
  • M.M. Sheremeta Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
Keywords: entire function, analytic function in the unit disk, Gelfond-Leont'ev derivative, Hadamard composition
Published online: 2012-06-28


The conditions are found, under which the belonging to Valiron convergence class of entire functions $f$ and $g$ implies the belonging to this class of Gelfond-Leont'ev derivative of Hadamard composition of functions $f$ and $g$ and of Hadamard composition of Gelfond-Leont'ev derivatives of these functions. Analogous problem is solved for analytic functions in the unit disk.

How to Cite
Mulyava O., Sheremeta M. Belonging to Convergence Classes of Hadamard Compositions of Gelfond-Leont’ev Derivatives for Analytic Functions. Carpathian Math. Publ. 2012, 4 (1), 111-115.

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