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https://dx.doi.org/10.15330/cm...
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On Hadamard composition of Gelfond-Leont'ev derivatives of entire and analytic functions in the unit disk

descriptionPublicationkeyboard_double_arrow_right Article 05 Jun 2021Publisher:Vasyl Stefanyk Precarpathian National UniversityJournal:Carpathian Mathematical Publications, volume 13, pages 98-109 (issn: 2075-9827, eissn: 2313-0210, Copyright policy )
Authors: O.M. Mulyava; M.M. Sheremeta;

doi: 10.15330/cmp.13.1.98-109

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

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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Keywords

Hadamard composition, growth, hadamard composition, Special classes of entire functions of one complex variable and growth estimates, Gelfond-Leont'ev derivative, analytic function, Power series (including lacunary series) in one complex variable, gelfond-leont'ev derivative, QA1-939, power series, Mathematics, maximal term, entire functions

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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