On A Class Non-Bazilević Function Involving Q-Differential Operator
K. R. Karthikeyan1, K. Ramachandran2, K. Srinivasan3

1K.Ramachandran, Department of Mathematics, SRM University Ramapuram, Chennai (Tamil Nadu), India.
2K. R. Karthikeyan, Department of Mathematics and Statistics, Caledonian College of Engineering, Muscat, Sultanate of Oman
3K. Srinivasan, Department of Athematics, Presidency College (Autonoumous), Chennai (Tamil Nadu), India.

Manuscript received on 01 May 2019 | Revised Manuscript received on 15 May 2019 | Manuscript published on 30 May 2019 | PP: 1131-1135 | Volume-8 Issue-7, May 2019 | Retrieval Number: G6341058719/19©BEIESP
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Abstract: We define a – differential operator which combines well-known Dziok-Srivastava operator and Sălăgean differential operator. Using this -differential operator, we define a presumably new class of non-Bazilević function which has interesting subclasses of univalent functions as its special case and derive subordination and superordination results for the class in the unit disk. Further, interesting subordination conditions for starlikeness with respect -symmetric points are obtained. Finally, we give relevant connections of our main results with former results obtained by various other authors.
Keyword: Q-calculus, Univalent Functions, Starlike Functions, Convex Function, Dziok-Srivastava Operator, Subordination, Superordination.
Scope of the Article: Software Defined Networking and Network Function Virtualization.