Name
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, where h and g are analytic in U. In this paper, consider the class HP(β), (0 ≤ β f = h + g, for which Re{h'(z) + g'(z)} β. We give sufficient coefficient conditions for normalized harmonic functions in the class HP(β). These conditions are also shown to be necessary when the coefficients are negative. This leads to distortion bounds and extreme points. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1016/S0096-3003(02)00314-4 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Harmonic functions,Extreme points,Distortion bounds | Extreme point,Harmonic function,Normalization (statistics),Subclass,Mathematical analysis,Harmonic,Unit disk,Distortion,Mathematics | Journal |
Volume | Issue | ISSN |
142 | 2-3 | 0096-3003 |
Citations | PageRank | References |
1 | 0.48 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sibel Yalçin Karpuzogullari | 1 | 1 | 0.48 |
| Metin Öztürk | 2 | 1 | 0.48 |
| Mümın Yamankaradenız | 3 | 2 | 0.92 |