IJPAM: Volume 70, No. 6 (2011)
DIFFERENTIAL SUBORDINATION AND SUPERORDINATION
FOR A NEW LINEAR DERIVATIVE OPERATOR
FOR A NEW LINEAR DERIVATIVE OPERATOR
N.M. Mustafa, M. Darus
School of Mathematical Sciences
Faculty of Science and Technology
Universiti Kebangsaan Malaysia
43600, Bangi, Selangor, MALAYSIA
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
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