This article is cited in 2 papers

Properties of Hadamard's compositions of Gelfond–Leont'ev derivatives for analytic functions

L. L. Luhova^a, O. M. Mulyava^b, M. N. Sheremeta<sup>c

a</sup> Institute of Bisiness and Perspective Technology, L'viv, Ukraine
^b Kiev National University of Food Technology, Kiev, Ukraine
^c Ivan Franko National University of L'viv, L'viv, Ukraine

Abstract: For entire and analytic functions in the unit disk the convergence and the growth of Hadamard's compositions of Gelfond-Leont'ev derivatives are investigated. It is studied the behavior of the maximal terms of this compositions.

Keywords: analytic function, Hadamard's composition, Gelfond–Leont'ev derivative, maximal term.

UDC: 517.5

Received: 01.03.2010

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