Classes of harmonic functions defined by subordination

DOI10.1155/2015/756928zbMath1345.31001OpenAlexW2175604970WikidataQ59101422 ScholiaQ59101422MaRDI QIDQ304939

Jacek Dziok

Publication date: 26 August 2016

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/756928

zbMATH Keywords

coefficient estimatesnew classes of harmonic functions in the disk

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) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (5)

Generalizations of starlike harmonic functions ⋮ Harmonic functions with varying coefficients ⋮ Convolution properties of meromorphically harmonic functions defined by a generalized convolution \(q\)-derivative operator ⋮ Unnamed Item ⋮ Convolution and coefficient estimates for \((p, q)\)-convex harmonic functions associated with subordination

Cites Work

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• On Janowski harmonic functions
• Harmonic univalent functions with negative coefficients
• Harmonic functions starlike in the unit disk
• Constants for Planar Harmonic Mappings
• Harmonic univalent functions
• Some extremal problems for certain families of analytic functions I
• On the non-vanishing of the Jacobian in certain one-to-one mappings

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