IJPAM: Volume 70, No. 6 (2011)

DIFFERENTIAL SUBORDINATION AND SUPERORDINATION
FOR A NEW LINEAR DERIVATIVE OPERATOR

N.M. Mustafa$^1$, M. Darus$^2$
$^{1,2}$School of Mathematical Sciences
Faculty of Science and Technology
Universiti Kebangsaan Malaysia
43600, Bangi, Selangor, MALAYSIA


Abstract. Having tremendous interests in the study of linear operators, a new generalization of linear derivative operator $D^{\alpha,\delta}_{p}(\mu,c,\lambda)$ is introduced in this current paper. The aim of the paper is to investigate several subordination and superordination for the aforementioned generalized linear derivative operator. Further, we also consider the sandwich-type result for this operator.

Received: March 6, 2011

AMS Subject Classification: 30C45

Key Words and Phrases: analytic functions, starlike functions, linear operator, superordination, subordination

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 70
Issue: 6