Planar harmonic convolution operators generated by hypergeometric functions

DOI10.1080/10652460701210227zbMath1114.30008OpenAlexW2066107516MaRDI QIDQ3438819

O. P. Ahuja

Publication date: 29 May 2007

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460701210227

zbMATH Keywords

hypergeometric functionsharmonic close-to-convexharmonic convexplanar harmonic mappingsharmonic starlikeharmonic typically realharmonic convolution operators

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) Applications of hypergeometric functions (33C90) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (14)

Unnamed Item ⋮ Mapping properties of Janowski-type harmonic functions involving Mittag-Leffler function ⋮ Inequalities of harmonic univalent functions with connections of hypergeometric functions ⋮ Convolution operators in the geometric function theory ⋮ Unnamed Item ⋮ Connections between various subclasses of planar harmonic mappings involving hypergeometric functions ⋮ Radius constants for functions with the prescribed coefficient bounds ⋮ On directional convexity of harmonic mappings in the plane ⋮ Some connections between various subclasses of planar harmonic mappings involving generalized Bessel functions ⋮ Inclusion properties of planar harmonic mappings associated with the Wright function ⋮ Some classes of harmonic mappings with analytic part defined by subordination ⋮ Harmonic starlikeness and convexity of integral operators generated by hypergeometric series ⋮ Harmonic univalent functions associated with Wright's generalized hypergeometric functions ⋮ Unnamed Item

Cites Work

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• A proof of the Bieberbach conjecture
• On the order of starlikeness of hypergeometric functions
• Harmonic univalent functions with negative coefficients
• Harmonic functions starlike in the unit disk
• Starlike and Prestarlike Hypergeometric Functions
• Univalent and Starlike Generalized Hypergeometric Functions
• Certain Subclasses of Analytic Functions Associated with the Generalized Hypergeometric Function
• Construction of a Certain Class of Harmonic Close-To-Convex Functions Associated with the Alexander Integral Transform
• Precise coefficient estimates for close-to-convex harmonic univalent mappings

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