Convolution properties of the harmonic Koebe function and its connection with 2-starlike mappings
From MaRDI portal
Publication:4983308
DOI10.1080/17476933.2014.907284zbMath1312.31007OpenAlexW2130455987MaRDI QIDQ4983308
Sumit Nagpal, Vravi Ravichandran
Publication date: 25 March 2015
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476933.2014.907284
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 (6)
On construction and convolution properties of univalent harmonic mappings ⋮ ON CONVOLUTIONS OF HARMONIC UNIVALENT MAPPINGS CONVEX IN THE DIRECTION OF THE REAL AXIS ⋮ On the product of planar harmonic mappings ⋮ Convolutions of harmonic half-plane mappings with harmonic vertical strip mappings ⋮ Convolutions of planar harmonic strip mappings ⋮ Some new harmonic mappings convex in one direction and their convolution
Cites Work
- Unnamed Item
- Injectivity conditions in the complex plane
- On the order of starlikeness of hypergeometric functions
- Univalent functions starlike with respect to a boundary point
- Linear combinations of convex mappings
- A class of bounded starlike functions
- On radii of starlikeness and convexity for convolutions of starlike functions
- On harmonic typically real mappings
- Starlike and convexity properties for hypergeometric functions
- Hadamard products of schlicht functions and the Polya-Schoenberg conjecture
- Convolutions of harmonic convex mappings
- Convolutions of planar harmonic convex mappings
- Hadamard Products of Convex Harmonic Mappings
- Starlike and Prestarlike Hypergeometric Functions
- Harmonic univalent functions
- Fully starlike and fully convex harmonic mappings of order α
- A subclass of close-to-convex harmonic mappings
- Univalence and convexity in one direction of the convolution of harmonic mappings
- Convex sum of univalent functions
- On the non-vanishing of the Jacobian in certain one-to-one mappings
- On the theory of univalent functions
This page was built for publication: Convolution properties of the harmonic Koebe function and its connection with 2-starlike mappings
