The radius of convexity of particular functions and applications to the study of a second order differential inequality

DOI10.3103/S1068362317030025zbMath1372.30006OpenAlexW2748063935MaRDI QIDQ2014563

Á. O. Páll-Szabó, Olga Engel

Publication date: 25 August 2017

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362317030025

zbMATH Keywords

convolutionradius of convexitystar-likeness

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Cites Work

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• Radii of starlikeness and convexity of some \(q\)-Bessel functions
• About a condition for starlikeness
• The radius of convexity of normalized Bessel functions of the first kind
• The sharp version of a criterion for starlikeness related to the operator of Alexander
• About the starlikeness of Bessel functions
• Geometric properties of the functions Γ and 1/Γ
• Close-to-convexity of some special functions and their derivatives

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