Hadamard compositions of Gelfond-Leont'ev-Sǎlǎgean and Gelfond-Leont'ev-Ruscheweyh derivatives of functions analytic in the unit disk

DOI10.30970/MS.54.2.115-134zbMath1461.30011OpenAlexW3113777212MaRDI QIDQ1998975

M. N. Sheremeta

Publication date: 10 March 2021

Published in: Matematychni Studiï (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30970/ms.54.2.115-134

zbMATH Keywords

Hadamard compositionGelfond-Leont'ev-Ruscheweyh derivativeGelfond-Leont'ev-Sǎlǎgean derivative

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Analytic continuation of functions of one complex variable (30B40)

Related Items (1)

On the Gelfond-Leont'ev-Sălăgean and Gelfond-Leont'ev-Ruscheweyh operators and analytic continuation of functions

Cites Work

• On the maximal terms of succesive Gelfond-Leont'ev-Sǎlǎgen and Gelfond-Leont'ev-Ruscheweyh derivatives of a function analytic in the unit disc
• Hadamard compositions of Gelfond-Leont'ev derivatives of analytic functions
• Singular points of the Hadamard composition
• Regularity of growth and gaps
• On the relation between $M\left( r \right)$ and the coefficients of a power series
• On the maximum term of a class of integral functions and its derivatives
• On the connection between the growth of the maximum modulus of an entire function and the moduli of the coefficients of its power series expansion
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