TY - JOUR AU - Darus, M. AU - Ibrahim, R. W. PY - 2012 TI - On Applications of Differential Subordination and Differential Operator JF - Journal of Mathematics and Statistics VL - 8 IS - 1 DO - 10.3844/jmssp.2012.165.168 UR - https://thescipub.com/abstract/jmssp.2012.165.168 AB - Problem statement: The object of this study is to obtain certain differential subordinations. Approach: Here we use known generalized differential operator given by Darus and Ibrahim and well known lemmas given by Miller and Mocanu. Results: We will pose several results on subordination theorems. Conclusion: Many other results can be obtained by using the operator defined.