One parameter family of univalent biharmonic mappings

DOI10.11650/TJM.18.2014.4066zbMath1357.31002OpenAlexW2002837374MaRDI QIDQ514740

Saminathan Ponnusamy, S. V. Bharanedhar, Yusuf Abu Muhanna

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.18.2014.4066

zbMATH Keywords

univalentradius of univalencebiharmonicharmonicclose-to-convex and starlike mappings

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (7)

Construction and determination of univalent biharmonic mappings ⋮ Harmonic approximations of analytic functions ⋮ Quasiconformal extensions of biharmonic mappings and strongly starlike biharmonic mappings ⋮ Avkhadiev-Becker type univalence conditions for biharmonic mappings ⋮ One parameter family of univalent polyharmonic mappings ⋮ Ahlfors type \(p\)-valent conditions for biharmonic functions ⋮ Avkhadiev-Backer type \(p\)-valent conditions for biharmonic functions

Cites Work

• Unnamed Item
• Univalent functions with bounded derivative in the unit disc
• Curvature properties of planar harmonic mappings
• Polynomial approximation of certain biharmonic mappings
• On some properties of solutions of the biharmonic equation
• On univalent solutions of the biharmonic equation
• On univalence of biharmonic maps
• Harmonic univalent functions

This page was built for publication: One parameter family of univalent biharmonic mappings