An application of Cohn's rule to convolutions of univalent harmonic mappings

DOI10.1216/RMJ-2016-46-2-559zbMath1359.31002arXiv1306.5375MaRDI QIDQ309478

Sushma Gupta, Raj Kumar, Michael Dorff, Sukhjit Singh

Publication date: 7 September 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.5375

zbMATH Keywords

convolutionharmonic mappings

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 (10)

Convolutions of harmonic right half-plane mappings ⋮ On construction and convolution properties of univalent harmonic mappings ⋮ On convolution and convex combination of harmonic mappings ⋮ Convolutions of harmonic right half-plane mappings with harmonic strip mappings ⋮ ON CONVOLUTIONS OF HARMONIC UNIVALENT MAPPINGS CONVEX IN THE DIRECTION OF THE REAL AXIS ⋮ NOTE ON THE CONVOLUTION OF HARMONIC MAPPINGS ⋮ A proof of a conjecture on the convolution of harmonic mappings and some related problems ⋮ Convolutions of harmonic mappings convex in the horizontal direction ⋮ Convolutions of harmonic half-plane mappings with harmonic vertical strip mappings ⋮ On logarithmic coefficients of certain starlike functions related to the vertical strip

Cites Work

• Unnamed Item
• Unnamed Item
• Hadamard products of schlicht functions and the Polya-Schoenberg conjecture
• Convolutions of slanted half-plane harmonic mappings
• Solution to an open problem on convolutions of harmonic mappings
• Convolutions of harmonic convex mappings
• Convolutions of planar harmonic convex mappings
• Hadamard Products of Convex Harmonic Mappings
• Harmonic univalent functions
• On the non-vanishing of the Jacobian in certain one-to-one mappings
• Convolution properties of some harmonic mappings in the right half-plane

This page was built for publication: An application of Cohn's rule to convolutions of univalent harmonic mappings