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J. Indones. Math. Soc. (MIHMI)

Vol. 14, No. 1 (2008), pp. 47–56.

APPLICATIONS OF DIFFERENTIAL

SUBORDINATION AND SUPERORDINATION

C. Ganesamoorthy, N. Marikkannan, M.P. Jeyaraman

Abstract.In the present investigation we obtain asndwich theorems for certain subclass

of analytic functions defined by convolution. Our results generalizes several well known results.

Received 23-10-2006, Accepted 07-09-2008.

2000 Mathematics Subject Classification: 30C45, 30C80

Key words and Phrases: Starlike functions, convex functions, K-convex functions, Hadamard product, differential subordination, differential superordination.

C. Ganesamoorthy: Department of Mathematics, Alagappa University, Karaikudi, India. E-mail: [email protected]

N. Marikkannan: Department of Applied Mathematics, Sri Venkateswara College of Engineering, Sriperimbudur, India.

E-mail: [email protected], [email protected]

M.P. Jeyaraman: Department of Mathematics, Easwari Engineering College, Ramapuram, Chennai, India.

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