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Volume 7, Issue 1, Article 6 |
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Some Inequalities Associated with a Linear Operator Defined for a Class of Analytic Functions
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Authors: |
S. R. Swamy, |
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Keywords:
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Analytic functions, Differential subordination, Ruscheweyh derivatives, Linear operator. |
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Date Received:
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07/03/05 |
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Date Accepted:
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25/07/05 |
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Subject Codes: |
30C45.
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Editors: |
Herb Silverman, |
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Abstract: |
In this paper, we give a sufficient condition on a linear operator which can guarantee that for a complex number with , ![$displaystyle func{Re}left{(1-alpha)frac{L_p(a,c)f(z)}{L_p(a,c)g(z)}+alpha frac{L_p(a+1,c)f(z)}{L_p(a+1,c)g(z)}right }>rho,quad rho </DIV> in the unit disk <IMG WIDTH=](images/064_05_JIPAM/img4.gif) , implies Some interesting applications of this result are also given.
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