TY  - JOUR
AU  - Ibrahim, R. W. 
AU  - Darus, M. 
PY  - 2011
TI  - On a Univalent Class Involving Differential Subordinations with Applications
JF  - Journal of Mathematics and Statistics
VL  - 7
IS  - 2
DO  - 10.3844/jmssp.2011.137.143
UR  - https://thescipub.com/abstract/jmssp.2011.137.143
AB  - Problem statement: By means of the Hadamard product (or convolution), new class of
analytic functions was formed. This class was motivated by many authors. Approach: By using the
concept of the subordination and superordination, we define certain differential inequalities and first
order differential subordinations. Results: As their applications, we obtain some sufficient conditions
for univalence which generalize and refine some previous results. Sandwich theorem is also obtained.
Conclusion: Therefore, we posed a new class of analytic functions which generalized some well
known subclasses. This class involves the E(Φ,ψ) - family of functions.