Analytic and Harmonic Univalent Functions

• Published in: Abstract and Applied Analysis 2014, Vol.2014, p.100-101-910
• Main Authors: Ravichandran, V., Ahuja, Om P., Ali, Rosihan M.
• Format: Article
• Language: English
• Subjects: Functional equations; Functions; Mathematical research; Studies
• ISSN: 1085-3375; 1687-0409
• DOI: 10.1155/2014/578214

V. Ravichandran 1 and Om P. Ahuja 2 and Rosihan M. Ali 3 1, Department of Mathematics, University of Delhi, Delhi 110 007, India 2, Department of Mathematical Sciences, Kent State University, Burton, OH 44021, USA 3, School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Penang, Malaysia Received 14 October 2014; Accepted 14 October 2014; 22 December 2014 This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The first of these four papers, "Radius constants for functions with the prescribed coefficient bounds," establishes a coefficient inequality for sense-preserving harmonic functions to compute the bounds for the radius of univalence and radius of full starlikeness (and convexity) of positive order for functions with prescribed coefficient bound on the analytic part; the second one, "On certain subclass of harmonic starlike functions," discusses the geometric properties for a new class of harmonic univalent functions; the third one, "A family of minimal surfaces and univalent planar harmonic mappings," presents a two-parameter family of minimal surfaces constructed by lifting a family of planar harmonic mappings, while the fourth one, "Landau-type theorems for certain biharmonic mappings," proves the Landau-type theorems for biharmonic mappings connected with a linear complex operator.