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Volume 6, Issue 2, Article 34 |
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On a Convolution Conjecture of Bounded Functions
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Authors: |
Krzysztof Piejko, Janusz Sokol, Jan Stankiewicz, |
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Keywords:
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Hadamard product, Convolution, Subordination, Bounded functions. |
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Date Received:
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30/11/04 |
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Date Accepted:
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03/03/05 |
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Subject Codes: |
Primary 30C45; Secondary 30C55.
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Editors: |
Kazimierz Nikodem, |
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Abstract: |
We consider the convolution  of the classes of analytic functions subordinated to the homographies  and  respectively, where  are some complex numbers. In 1988 J. Stankiewicz and Z. Stankiewicz [11] showed that for certain there exist  such that  . In this paper we verify the conjecture that  for some 
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