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Volume 6, Issue 2, Article 58 |
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Meromorphic Functions with Positive Coefficients Defined Using Convolution
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Authors: |
S. Sivaprasad Kumar, V. Ravichandran, H.C. Taneja, |
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Keywords:
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Meromorphic functions, Starlike function, Convolution, Positive coefficients, Coefficient inequalities, Growth and distortion theorems, Closure theorems, Integral operator. |
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Date Received:
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25/05/05 |
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Date Accepted:
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31/05/05 |
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Subject Codes: |
30C45
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Editors: |
Herb Silverman, |
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Abstract: |
For certain meromorphic function  and  , we study a class of functions  , ( ), defined in the punctured unit disk  , satisfying Coefficient inequalities, growth and distortion inequalities, as well as closure results are obtained. Properties of an integral operator and its inverse defined on the new class is also discussed. In addition, we apply the concepts of neighborhoods of analytic functions to this class.
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