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Volume 9, Issue 1, Article 22 |
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Some Properties of a New Class of Analytic Functions Defined in Terms of a Hadamard Product
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Authors: |
R.K. Raina, Deepak Bansal, |
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Keywords:
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Starlike function, Convex function, Close-to-convex function, Hadamard product, Ruscheweyh operator, Carlson and Schaffer operator, Subordination factor sequence, Schwarz function. |
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Date Received:
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15/04/2007 |
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Date Accepted:
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12/01/2008 |
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Subject Codes: |
Primary 30C45.
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Editors: |
Hari M. Srivastava, |
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Abstract: |
In this paper we introduce a new class  of analytic functions which is defined by means of a Hadamard product (or convolution) of two suitably normalized analytic functions. Several properties like, the coefficient bounds, growth and distortion theorems, radii of starlikeness, convexity and close-to-convexity are investigated. We further consider a subordination theorem, certain boundedness properties associated with partial sums, an integral transform of a certain class of functions, and some integral means inequalities. Several interesting consequences of our main results are also pointed out.
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