On Hadamard composition of Gelfond-Leont'ev derivatives of entire and analytic functions in the unit disk

  • 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
https://doi.org/10.15330/cmp.13.1.98-109
Keywords: analytic function, Hadamard composition, Gelfond-Leont'ev derivative, maximal term
Published online: 2021-06-05

Abstract


For an entire function and an analytic in the unit disk function the growth of the Hadamard composition of their Gelfond-Leont'ev derivatives is investigated in terms of generalized orders. A relationship between the behaviors of the maximal terms of Hadamard composition of Gelfond-Leont'ev derivatives and of the Gelfond-Leont'ev derivative of Hadamard composition is established.

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How to Cite
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Mulyava O., Sheremeta M. On Hadamard Composition of Gelfond-Leont’ev Derivatives of Entire and Analytic Functions in the Unit Disk. Carpathian Math. Publ. 2021, 13 (1), 98-109.

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