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Volume 5, Issue 2, Article 28 |
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Inequalities Defining Certain Subclasses of Analytic and Multivalent Functions Involving Fractional Calculus Operators
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Authors: |
I.B. Bapna, R.K. Raina, |
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Keywords:
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Analytic functions, Multivalent functions, Starlike functions, Convex functions, Fractional calculus operators. |
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Date Received:
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25/07/2003 |
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Date Accepted:
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09/02/2004 |
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Subject Codes: |
30C45, 26A33.
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Editors: |
Nak Eun Cho, |
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Abstract: |
Making use of a certain fractional calculus operator, we introduce two new subclasses  and  of analytic and  valent functions in the open unit disk. The results investigated exhibit the sufficiency conditions for a function to belong to each of these classes. Several geometric properties of such multivalent functions follow, and these consequences are also mentioned.
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