Convex subclass of harmonic starlike functions
Date
2004-07-05
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Abstract
Complex valued harmonic functions that are univalent and sense preserving in the unit disk U can be written in the form f = h + (g) over bar, where h and g are analytic in U. We define and investigate a convex subclass of harmonic starlike functions of order alpha (0 less than or equal to a < 1). We obtain coefficient conditions, extreme points, distortion bounds, convolution conditions, and convex combination for the above class of harmonic functions.
Description
Keywords
Mathematics, Harmonic analysis, Mathematical models, Set theory, Theorem proving, Convex subclasses, Harmonic functions, Functions, Harmonic, Univalent, Starlike, Convex, Univalent-functions
Citation
Öztürk, M. vd. (2004). “Convex subclass of harmonic starlike functions”. Applied Mathematics and Computation, 154(2), 449-459.