Generalizations of starlike harmonic functions

DOI10.1016/j.crma.2015.08.001zbMath1337.31003OpenAlexW2181930695MaRDI QIDQ282694

Janusz Sokół, Teodor Bulboacă, Jacek Dziok, Darus, Maslina

Publication date: 12 May 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2015.08.001

zbMATH Keywords

subordinationconvex functionsharmonic functionsstar-like functions

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 (13)

Harmonic function with correlated coefficients ⋮ Classes of harmonic functions defined by convolution ⋮ Unnamed Item ⋮ A study of spiral-like harmonic functions associated with quantum calculus ⋮ $q$-analogue of a class of harmonic functions ⋮ Generalizations of starlike harmonic functions defined by Sălăgean and Ruscheweyh derivatives ⋮ Classes of harmonic functions defined by the extended Sălăgean operator ⋮ Generalized \(q\)-starlike harmonic functions ⋮ Harmonic functions with missing coefficients ⋮ Properties of a generalized class of analytic functions with coefficient inequality ⋮ Classes of harmonic functions associated with Ruscheweyh derivatives ⋮ Subclasses of harmonic univalent functions associated with generalized Ruscheweyh operator ⋮ Ruscheweyh-type harmonic functions with correlated coefficients

Cites Work

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• Classes of harmonic functions defined by subordination
• On Janowski harmonic functions
• Harmonic univalent functions with negative coefficients
• Harmonic functions starlike in the unit disk
• Constants for Planar Harmonic Mappings
• New Criteria for Univalent Functions
• Harmonic univalent functions

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