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J. Korean Math. Soc. 2008; 45(3): 611-620
Printed May 1, 2008
Copyright © The Korean Mathematical Society.
On sandwich theorems for certain subclasses of analytic functions involving Carlson--Shaffer operator
T. N. Shanmugam, S. Sivasubramanian, B. A. Frasin, and S. Kavitha
College of Engineering, Anna university, College of Engineering, Anna university, Al al-Bayt University, Madras Christian College
The purpose of this present paper is to derive some subordination and superordination results involving Carlson--Shaffer operator for certain normalized analytic functions in the open unit disk.Relevant connections of the results, which are presented in the paper, with various known results are also considered.
Keywords: differential subordinations, differential superordinations, dominant, subordinant
MSC numbers: Primary 30C80, Secondary 30C45
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