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Volume 7, Issue 1, Article 5 |
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Inclusion and Neighborhood Properties of Some Analytic and Multivalent Functions
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Authors: |
R.K. Raina, Hari M. Srivastava, |
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Keywords:
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Analytic functions, $p$-valent functions, Hadamard product (or convolution), Coefficient bounds, Ruscheweyh derivative operator, Neighborhood of analytic functions. |
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Date Received:
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08/11/05 |
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Date Accepted:
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15/11/05 |
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Subject Codes: |
Primary 30C45.
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Editors: |
Themistocles M. Rassias, |
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Abstract: |
By means of a certain extended derivative operator of Ruscheweyh type, the authors introduce and investigate two new subclasses of p-valently analytic functions of complex order. The various results obtained here for each of these function classes include coefficient inequalities and the consequent inclusion relationships involving the neighborhoods of the p-valently analytic functions.
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