Convolutions of planar harmonic convex mappings

DOI10.1080/17476930108815381zbMath1023.30019OpenAlexW2241823557MaRDI QIDQ3152018

Michael Dorff

Publication date: 22 October 2002

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930108815381

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)

Related Items (58)

Univalency of convolutions of univalent harmonic right half-plane mappings ⋮ Convolutions of harmonic convex mappings ⋮ An application of Cohn's rule to convolutions of univalent harmonic mappings ⋮ Convolutions of harmonic right half-plane mappings ⋮ New subclass of the class of close-to-convex harmonic mappings defined by a third-order differential inequality ⋮ Coefficient and Fekete-Szegö problem estimates for certain subclass of analytic and bi-univalent functions ⋮ On construction and convolution properties of univalent harmonic mappings ⋮ Directional convexity of convolutions of harmonic functions with certain dilatations ⋮ On convolution and convex combination of harmonic mappings ⋮ Radius problems for some subclasses of analytic functions ⋮ Injectivity of sections of univalent harmonic mappings ⋮ Close-to-convexity of a class of harmonic mappings defined by a third-orderdifferential inequality ⋮ Convolutions of harmonic right half-plane mappings with harmonic strip mappings ⋮ Linear combination of convolution of harmonic univalent functions ⋮ A convolution property of univalent harmonic right half-plane mappings ⋮ ON CONVOLUTIONS OF HARMONIC UNIVALENT MAPPINGS CONVEX IN THE DIRECTION OF THE REAL AXIS ⋮ On a subclass of harmonic close-to-convex mappings ⋮ NOTE ON THE CONVOLUTION OF HARMONIC MAPPINGS ⋮ Univalency of convolutions of harmonic mappings ⋮ On the product of planar harmonic mappings ⋮ Sections of stable harmonic convex functions ⋮ A proof of a conjecture on the convolution of harmonic mappings and some related problems ⋮ On directional convexity of harmonic mappings in the plane ⋮ Convolutions of harmonic mappings convex in the horizontal direction ⋮ A subclass of close-to-convex harmonic mappings ⋮ Characterization of univalent harmonic mappings with integer or half-integer coefficients ⋮ Directional convexity of harmonic mappings ⋮ Convolutions of harmonic half-plane mappings with harmonic vertical strip mappings ⋮ Convex combinations of planar harmonic mappings realized through convolutions with half-strip mappings ⋮ Unnamed Item ⋮ Harmonic close-to-convex functions and minimal surfaces ⋮ Disk of convexity of sections of univalent harmonic functions ⋮ Univalent harmonic mappings convex in one direction ⋮ On a subclass of close-to-convex harmonic mappings ⋮ On a subclass of close-to-convex harmonic mappings ⋮ Properties of harmonic functions defined by shear construction ⋮ Some basic properties of certain subclass of harmonic univalent functions ⋮ On a result by R. Kargar et al.. ⋮ Convolutions of harmonic mappings convex in one direction ⋮ Convolution properties of some harmonic mappings in the right half-plane ⋮ Convolutions of normalized harmonic mappings ⋮ Convolution properties of the harmonic Koebe function and its connection with 2-starlike mappings ⋮ CLASSIFICATION OF UNIVALENT HARMONIC MAPPINGS ON THE UNIT DISK WITH HALF-INTEGER COEFFICIENTS ⋮ On a subclass of starlike functions associated with a vertical strip domain ⋮ The properties of a new subclass of harmonic univalent mappings ⋮ Convolutions of slanted half-plane harmonic mappings ⋮ Univalence and convexity in one direction of the convolution of harmonic mappings ⋮ Directional convexity of convolutions of harmonic functions ⋮ Convolution and convex combination of harmonic mappings ⋮ On convolution of harmonic mappings ⋮ On logarithmic coefficients of certain starlike functions related to the vertical strip ⋮ Harmonic Univalent Mappings and Minimal Graphs ⋮ Convolutions of planar harmonic strip mappings ⋮ Solution to an open problem on convolutions of harmonic mappings ⋮ Some new harmonic mappings convex in one direction and their convolution ⋮ Radii of starlikeness and convexity for harmonic functions defined by shear construction ⋮ Convolution of two harmonic mappings in the right-half plane ⋮ RADII OF HARMONIC MAPPINGS IN THE PLANE

This page was built for publication: Convolutions of planar harmonic convex mappings