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Volume 5, Issue 3, Article 57 |
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A Sufficient Condition for Starlikeness of Analytic Functions of Koebe Type
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Authors: |
Muhammet Kamali, Hari M. Srivastava, |
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Keywords:
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Differential inequalities, $n$-fold symmetric functions, analytic functions of Koebe type, starlike functions, strongly starlike functions, Jack's Lemma. |
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Date Received:
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18/04/04 |
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Date Accepted:
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25/05/04 |
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Subject Codes: |
Primary 30C45; Secondary 30A10, 30C80.
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Editors: |
Themistocles M. Rassias, |
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Abstract: |
By making use of Jack's Lemma as well as several differential and other inequalities (and parametric constraints), the authors derive sufficient conditions for starlikeness of a certain class of n-fold symmetric analytic functions of Koebe type. Relevant connections of the results presented here with those given in earlier works are also indicated.
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