Directional convexity of convolutions of harmonic functions

DOI10.1155/2019/5731830zbMath1486.30038OpenAlexW2929896563WikidataQ128140774 ScholiaQ128140774MaRDI QIDQ2330279

Jay M. Jahangiri, Raj K. Garg

Publication date: 28 October 2019

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/5731830

zbMATH Keywords

analytic functionsdilatation conditions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Coefficient problems for univalent and multivalent functions of one complex variable (30C50) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (2)

On construction and convolution properties of univalent harmonic mappings ⋮ Directional convexity of convolutions of harmonic functions with certain dilatations

Cites Work

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• Über positive harmonische Entwicklungen und typisch-reelle Potenzreihen
• Univalency of convolutions of univalent harmonic right half-plane mappings
• Convolutions of planar harmonic convex mappings
• Harmonic univalent functions
• Convolutions of harmonic half-plane mappings with harmonic vertical strip mappings
• NOTE ON THE CONVOLUTION OF HARMONIC MAPPINGS
• Univalent Majorants
• Applications of a Lemma of Fejer to Typically-Real Functions

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