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On Multivalent Harmonic Functions with Positive Ositive Real Part
Paper Type  |
Contributed Paper |
Title |
On Multivalent Harmonic Functions with Positive Ositive Real Part |
Author |
Sibel Yalin and Metin ztürk |
Email |
skarpuz@uludag.edu.tr |
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Abstract: New classes of complex-valued, multivalent harmonic functions of the form f = h + g , where h and g are multivalent analytic in the unit disk are introduced. We give sufficient conditions for these classes. These coefficient conditions are shown to be also necessary if the coefficients of h and g of the harmonic functions f = h + g are negative. Furthermore, we determine a representation theorem, extreme points, distortion and covering theorems, convolution conditions and convex combinations for these functions.
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Start & End Page |
273 - 279 |
Received Date |
2007-05-20 |
Revised Date |
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Accepted Date |
2007-09-30 |
Full Text |
Download |
Keyword |
Harmonic multivalent functions, extremal problems |
Volume |
Vol.34 No.3 (SEPTEMBER 2007) |
DOI |
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Citation |
Yalin S. and Ztürk M., On Multivalent Harmonic Functions with Positive Ositive Real Part, Chiang Mai J. Sci., 2007; 34(3): 273-279. |
SDGs |
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