• Bulletin of the Korean Mathematical Society
• /
• v.53 no.1
• /
• pp.127-138
• /
• 2016

Differential subordination and superordination preserving properties for univalent functions in the open unit disk with an operator involving generalized Bessel functions are derived. Some particular cases involving trigonometric functions of our main results are also pointed out.

• Journal of the Korean Mathematical Society
• /
• v.48 no.1
• /
• pp.179-189
• /
• 2011

The object of the present paper is to obtain a more general condition for univalence of analytic functions in the open unit disk U. The significant relationships and relevance with other results are also given. A number of known univalent conditions would follow upon specializing the parameters involved in our main results.