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Volume 8, Issue 4, Article 109 |
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An Application of Subordination on Harmonic Function
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Authors: |
H.A. Al-Kharsani, |
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Keywords:
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Harmonic, Univalent, Subordination, Convex, Starlike, Close-to-convex. |
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Date Received:
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28/06/06 |
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Date Accepted:
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15/05/07 |
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Subject Codes: |
Pri 30C45; Sec 58E20.
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Editors: |
Anthony Sofo, |
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Abstract: |
The purpose of this paper is to obtain sufficient bound estimates for harmonic functions belonging to the classes ![$ S^*_ H[A,B], K_H[A,B]$](images/176_06_JIPAM/img1.gif) defined by subordination, and we give some convolution conditions. Finally, we examine the closure properties of the operator  on these classes under the generalized Bernardi integral operator.
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