Korean J. Math. Vol. 23 No. 4 (2015) pp.503-519
DOI: https://doi.org/10.11568/kjm.2015.23.4.503

Strong differential subordination and superordination of new generalized derivative operator

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Published: Dec 30, 2015
Keywords:
Analytic function, Derivative operator, Strong differential subordination, Strong differential superodination
Mathematics Subject Classification:
30C45

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Anessa Oshah
School of Mathematical Sciences Faculty of Science and Technology Universiti Kebangsaan Malaysia Bangi, Selangor, Malaysia
Maslina Darus
School of Mathematical Sciences Faculty of Science and Technology Universiti Kebangsaan Malaysia Bangi, Selangor, Malaysia

Abstract

In this work, certain classes of admissible functions are considered. Some strong differential subordination and superordination properties of analytic functions associated with new generalized derivative operator $\mathfrak{B}^{\mu,q,s}_{\lambda_{1},\lambda_{2},\ell,d}$ are investigated. New strong differential sandwich-type results associated with the generalized derivative operator are also given.


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Supporting Agencies

The work here is supported by FRGSTOPDOWN/2013/ST06/UKM/01/1

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