Original Article
Kyungpook Mathematical Journal 2009; 49(1): 47-55
Published online March 23, 2009
Copyright © Kyungpook Mathematical Journal.
On Suffcient Conditions for Certain Subclass of Analytic Functions De ned by Convolution
Paramasivam Sooriyakala1, Natarajan Marikkannan2
1Department of Mathematics, Jaya College of Arts and Science, Thiruninravur, 602204, India
2Department of Mathematics, Government Arts College, Paramakudi 623 707, India
In the present investigation su cient conditions are found for certain subclass of normalized analytic functions de ned by Hadamard product. Di erential sandwich theorems are also obtained. As a special case of this we obtain results involving Ruscheweyh derivative, S al agean derivative, Carlson-shaffer operator, Dziok-Srivatsava linear operator, Multiplier transformation.
Keywords: analytic functions, univalent functions, Hadamard producut, differential subordinations, differential superordinations, Ruscheweyh derivative, Su{a}lu{a}gean derivative, Carlson-Shaffer operator, Dziok-Srivatsava linear operator, multiplier transformation