Construction of a Certain Class of Harmonic Close-To-Convex Functions Associated with the Alexander Integral Transform

DOI10.1080/1065246031000074380zbMath1038.30010OpenAlexW2001947970MaRDI QIDQ4434630

Yong Chang Kim, Hari M. Srivastava, Jay M. Jahangiri

Publication date: 10 November 2003

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

Full work available at URL: https://doi.org/10.1080/1065246031000074380

zbMATH Keywords

analytic functionharmonic functionconvex functionstarlike functionclose-to-convex functionAlexander integral transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Conformal mappings of special domains (30C20)

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A class of harmonic functions associated with a generalized differential operator ⋮ Applications of \(q\)-difference symmetric operator in harmonic univalent functions ⋮ Convolution properties of meromorphically harmonic functions defined by a generalized convolution \(q\)-derivative operator ⋮ Some subordination properties for spirallike functions ⋮ Some applications of \(q\)-difference operator involving a family of meromorphic harmonic functions ⋮ Harmonic subclass of univalent functions defined by modified \(q\)-difference operator ⋮ A convolution approach on partial sums of certain harmonic univalent functions ⋮ A CLASS OF HARMONIC (𝑝, 𝑞)-STARLIKE FUNCTIONS INVOLVING A GENERALIZED (𝑝, 𝑞)-BERNARDI INTEGRAL OPERATOR ⋮ Classes of harmonic functions defined by convolution ⋮ Certain subclasses of meromorphic harmonic starlike functions ⋮ On a subclass of harmonic convex functions of complex order ⋮ A new subclass of the meromorphic harmonic \(\gamma \)-starlike functions ⋮ Some inclusion properties for certain subclasses of strongly starlike and strongly convex functions involving a family of fractional integral operators ⋮ A new class of harmonic univalent functions by the generalized Salagean operator ⋮ Unnamed Item ⋮ Geometric properties of certain non-linear integral operators ⋮ A class of harmonic starlike functions with respect to symmetric points associated with the Srivastava-Wright generalized hypergeometric function ⋮ Planar harmonic convolution operators generated by hypergeometric functions

Cites Work

• Unnamed Item
• Harmonic close-to-convex mappings
• On the non-vanishing of the Jacobian in certain one-to-one mappings

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