Construction of Planar Harmonic Functions. (22nd March 2007)

• Record Type: Journal Article
• Authors: Jahangiri, Jay M.; Silverman, Herb; Silvia, Evelyn M.
• Other Names: Bulboaca Teodor Academic Editor.
• Is Part Of: International journal of mathematics and mathematical sciences. Voume 2007(2007)
• Publication Date: 2007-03-22
• Subjects: Mathematics -- Periodicals; 510.5
• DOI: 10.1155/2007/70192
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disk can be written in the form f = h + g ¯, where h and g are analytic in the open unit disk. The functions h and g are called the analytic and coanalytic parts of f, respectively. In this paper, we construct certain planar harmonic maps either by varying the coanalytic parts of harmonic functions that are known to be harmonic starlike or by adjoining analytic univalent functions with coanalytic parts that are related or derived from the analytic parts.