Harmonic functions with varying coefficients

DOI10.1186/S13660-016-1079-ZzbMath1338.31002OpenAlexW2401354108WikidataQ59472418 ScholiaQ59472418MaRDI QIDQ289961

Jacek Dziok, Herb Silverman, Jay M. Jahangiri

Publication date: 1 June 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1079-z

zbMATH Keywords

harmonic functionsJanowski functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Related Items (14)

Harmonic function with correlated coefficients ⋮ On subclasses of harmonic mappings involving Frasin operator ⋮ Classes of harmonic functions defined by convolution ⋮ Generalizations of starlike harmonic functions defined by Sălăgean and Ruscheweyh derivatives ⋮ Unnamed Item ⋮ Classes of harmonic functions defined by the extended Sălăgean operator ⋮ Generalized \(q\)-starlike harmonic functions ⋮ Harmonic functions with missing coefficients ⋮ Unnamed Item ⋮ Classes of harmonic functions associated with Ruscheweyh derivatives ⋮ Subclasses of harmonic univalent functions associated with generalized Ruscheweyh operator ⋮ Convolution and coefficient estimates for \((p, q)\)-convex harmonic functions associated with subordination ⋮ Ruscheweyh-type harmonic functions with correlated coefficients ⋮ A unified class of harmonic functions with varying argument of 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
• Minimal graphs in ℝ³ over convex domains
• Harmonic univalent functions
• Some extremal problems for certain families of analytic functions I
• On extreme points of regular convex sets

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