IJPAM: Volume 84, No. 4 (2013)

ON APPLICATIONS OF DIFFERENTIAL SUBORDINATION

A. Selvam1, P. Sooriya Kala2, N. Marikkannan3
1,2Department of Mathematics
VHNSN College
Virudhunagar, 626001, INDIA
3Department of Mathematics
Government Arts College
Melur, 625106, INDIA


Abstract. Using a generalized differential operator we define certain subclasses of analytic functions and study about their inclusion relationships using differential subordination.

Received: January 16, 2013

AMS Subject Classification: 30C45, 30C80

Key Words and Phrases: analytic functions, Hadamard products, starlike functions, convex functions, differential subordination and linear operators

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DOI: 10.12732/ijpam.v84i4.12 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 84
Issue: 4