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On the maximal terms of succesive Gelfond-Leont'ev-Salagen and Gelfond-Leont'ev-Ruscheweyh derivatives of a function analytic in the unit disc
Journal: Matematychni Studii (Vol.37, No. 1)Publication Date: 2012-01-01
Authors : Sheremeta M. M.;
Page : 58-64
Keywords : analytic function; derivatives of Gelfond-Leont’ev; Salagen and Rusheweyh; maximal term of power series;
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Abstract
For a function analytic in the unit disc the concepts of Gelfond-Leont'ev-Salagen and Gelfond-Leont'ev-Ruscheweyh derivatives of n-th order are introduced and the asymptotic behaviour of the maximal terms of their power development as $nto+infty$ is investigated.
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