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Volume 5, Issue 1, Article 11 |
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Convolution Conditions for Spirallikeness and Convex Spirallikeness of Certain Meromorphic $p$-valent Functions
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Authors: |
V. Ravichandran, S. Sivaprasad Kumar, K.G. Subramanian, |
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Keywords:
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Meromorphic p-valent functions, Analytic functions, Starlike functions,
Convex functions, Spirallike functions, Convex Spirallike functions, Hadamard product (or Convolution), Subordination, Linear operator. |
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Date Received:
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27/10/03 |
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Date Accepted:
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11/12/03 |
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Subject Codes: |
Primary 30C45, Secondary 30C80.
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Editors: |
Herb Silverman, |
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Abstract: |
In the present investigation, the authors derive necessary and sufficient conditions for spirallikeness and convex spirallikeness of a suitably normalized meromorphic p-valent function in the punctured unit disk, using convolution. Also we give an application of our result to obtain a convolution condition for a class of meromorphic functions defined by a linear operator.
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