Connections between various subclasses of planar harmonic mappings involving hypergeometric functions

DOI10.1016/j.amc.2007.08.035zbMath1138.31001OpenAlexW1987662650MaRDI QIDQ2425985

O. P. Ahuja

Publication date: 17 April 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.08.035

zbMATH Keywords

harmonic convexharmonic starlikeharmonic typically real

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) Hypergeometric functions (33C99)

Related Items (19)

Linear combinations of a class of harmonic univalent mappings ⋮ Unnamed Item ⋮ Inequalities of harmonic univalent functions with connections of hypergeometric functions ⋮ Harmonic function with correlated coefficients ⋮ Inclusion relation between various subclasses of harmonic univalent functions associated with Wright's generalized hypergeometric functions ⋮ Unnamed Item ⋮ Classes of harmonic functions defined by convolution ⋮ Unnamed Item ⋮ Sufficiency for nephroid starlikeness using hypergeometric functions ⋮ Classes of harmonic functions defined by the extended Sălăgean operator ⋮ Harmonic starlikeness and convexity of integral operators generated by generalized Bessel functions ⋮ Some connections between various subclasses of planar harmonic mappings involving generalized Bessel functions ⋮ Harmonic functions with missing coefficients ⋮ Inclusion properties of planar harmonic mappings associated with the Wright function ⋮ Classes of harmonic functions associated with Ruscheweyh derivatives ⋮ Unnamed Item ⋮ Subclasses of harmonic univalent functions associated with generalized Ruscheweyh operator ⋮ Unnamed Item ⋮ Ruscheweyh-type harmonic functions with correlated coefficients

Cites Work

• A proof of the Bieberbach conjecture
• Convolutory operators preserving univalent functions
• On the order of starlikeness of hypergeometric functions
• Harmonic univalent functions with negative coefficients
• Certain convex harmonic functions
• Planar harmonic convolution operators generated by hypergeometric functions
• Univalence of Gaussian and Confluent Hypergeometric Functions
• Starlike and Prestarlike Hypergeometric Functions
• Univalent and Starlike Generalized Hypergeometric Functions
• Uniformly Convex Functions and a Corresponding Class of Starlike Functions
• Harmonic univalent functions
• Precise coefficient estimates for close-to-convex harmonic univalent mappings
• On uniformly convex functions
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